{
  "title": "Outcome and Sample Space - Grade 9 Probability",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "When flipping a coin, what are the possible outcomes?", "options": {"A": "Heads, Tails, Edge", "B": "Only Heads", "C": "Heads and Tails", "D": "1, 2, 3"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "What is the sample space when rolling a standard die?", "options": {"A": "{1, 2, 3}", "B": "{1, 2, 3, 4, 5, 6}", "C": "{1, 2, 3, 4, 5}", "D": "{0, 1, 2, 3, 4, 5, 6}"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "If you flip two coins, how many total outcomes are possible?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "What is an 'outcome' in probability?", "options": {"A": "The chance of an event", "B": "The result of a single trial", "C": "The total number of trials", "D": "The sample space"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "The set of all possible outcomes is called:", "options": {"A": "Event", "B": "Probability", "C": "Sample space", "D": "Trial"}, "correct_answer": "C"},
    {"id": 6, "difficulty": "easy", "question": "When drawing a card from a deck, the sample space has how many outcomes?", "options": {"A": "13", "B": "26", "C": "52", "D": "4"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "What is the sample space for the months in a year?", "options": {"A": "{Jan, Feb, Mar}", "B": "{1 to 12}", "C": "All 12 months", "D": "{Monday to Sunday}"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "If an experiment has 3 possible outcomes, how many elements are in its sample space?", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "Which represents the sample space for gender of a newborn baby?", "options": {"A": "{Male, Female, Other}", "B": "{Male, Female}", "C": "{Boy, Girl}", "D": "{1, 2}"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "What is the sample space for selecting a day of the week?", "options": {"A": "7 days", "B": "5 days", "C": "30 days", "D": "12 days"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "When tossing a coin and rolling a die together, how many outcomes?", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "Which is NOT a possible outcome when rolling a die?", "options": {"A": "3", "B": "6", "C": "7", "D": "4"}, "correct_answer": "C"},
    {"id": 13, "difficulty": "easy", "question": "The sample space for a true/false question has how many outcomes?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "What is the sample space for selecting a vowel from English alphabet?", "options": {"A": "{A, E, I, O, U}", "B": "{A, B, C}", "C": "All letters", "D": "{A, E, I}"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "If you select a digit from 0-9, how many outcomes are possible?", "options": {"A": "9", "B": "10", "C": "8", "D": "11"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "What is the sample space for choosing a primary color?", "options": {"A": "{Red, Yellow, Blue}", "B": "{Red, Green, Blue}", "C": "All colors", "D": "{Red, Blue}"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "How many outcomes when flipping three coins?", "options": {"A": "6", "B": "8", "C": "4", "D": "10"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "Which represents outcomes for a traffic light?", "options": {"A": "{Red, Yellow, Green}", "B": "{Red, Green}", "C": "{Stop, Go}", "D": "{1, 2, 3}"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "What is the sample space for selecting a continent?", "options": {"A": "7 continents", "B": "5 continents", "C": "6 continents", "D": "8 continents"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "If S = {1, 2, 3, 4, 5}, how many outcomes are in the sample space?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "B"},
    
    {"id": 21, "difficulty": "medium", "question": "A bag contains 3 red and 2 blue balls. What is the sample space when drawing one ball?", "options": {"A": "{Red, Blue}", "B": "{R1, R2, R3, B1, B2}", "C": "{Red, Red, Red, Blue, Blue}", "D": "{1, 2, 3, 4, 5}"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "Two dice are rolled. How many outcomes show a sum of 7?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "From digits 1,2,3, how many 2-digit numbers can be formed if repetition is allowed? List the sample space.", "options": {"A": "6 numbers: {11,12,13,21,22,23,31,32,33}", "B": "9 numbers: {11,12,13,21,22,23,31,32,33}", "C": "3 numbers: {12,13,23}", "D": "8 numbers: {11,12,13,21,22,23,31,32}"}, "correct_answer": "B"},
    {"id": 24, "difficulty": "medium", "question": "A coin is tossed and a spinner with 4 equal sectors (A,B,C,D) is spun. How many outcomes in sample space?", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "What is the sample space when selecting a prime number less than 20?", "options": {"A": "{2,3,5,7,11,13,17,19}", "B": "{1,2,3,5,7,11,13,17,19}", "C": "{2,3,5,7}", "D": "{2,3,5,7,11,13,17}"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Three coins are tossed. How many outcomes have exactly 2 heads?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "From a standard deck, what is the sample space for drawing a face card?", "options": {"A": "{Jack, Queen, King}", "B": "{Jack of Hearts, Queen of Hearts, King of Hearts}", "C": "12 face cards with suits", "D": "{J,Q,K,A}"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "A die is rolled twice. How many outcomes where first roll > second roll?", "options": {"A": "12", "B": "15", "C": "18", "D": "21"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "What is the sample space for selecting a multiple of 3 between 10 and 30?", "options": {"A": "{12,15,18,21,24,27,30}", "B": "{12,15,18,21,24,27}", "C": "{9,12,15,18,21,24,27,30}", "D": "{12,18,24,30}"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "Two different books are selected from 5 different books. How many possible selections?", "options": {"A": "10", "B": "15", "C": "20", "D": "25"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "A family has 2 children. What is the sample space for their genders?", "options": {"A": "{BB, BG, GB, GG}", "B": "{BB, BG, GG}", "C": "{Boy, Girl}", "D": "{2 Boys, 2 Girls, 1 Boy 1 Girl}"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "From numbers 1-10, what is the sample space for selecting an even number?", "options": {"A": "{2,4,6,8,10}", "B": "{1,2,4,6,8,10}", "C": "{2,4,6,8}", "D": "{2,4,6,8,10,12}"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "A coin is tossed 4 times. How many outcomes in sample space?", "options": {"A": "8", "B": "12", "C": "16", "D": "20"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "What is the sample space for choosing a quadrilateral from: square, rectangle, triangle, circle, pentagon?", "options": {"A": "{square, rectangle}", "B": "{square, rectangle, triangle}", "C": "{square, rectangle, pentagon}", "D": "{square, rectangle, triangle, pentagon}"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "A box contains 2 white and 3 black balls. Two balls drawn without replacement. What is the sample space?", "options": {"A": "{WW, BB, WB}", "B": "{WW, BB, BW}", "C": "{WW, BB, WB, BW}", "D": "{W1W2, B1B2, B1B3, B2B3, W1B1, W1B2, W1B3, W2B1, W2B2, W2B3}"}, "correct_answer": "D"},
    {"id": 36, "difficulty": "medium", "question": "How many 3-letter codes can be formed from letters A,B,C without repetition?", "options": {"A": "3", "B": "6", "C": "9", "D": "12"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "What is the sample space for selecting a composite number between 1 and 15?", "options": {"A": "{4,6,8,9,10,12,14,15}", "B": "{4,6,8,9,10,12,14}", "C": "{4,6,8,10,12,14,15}", "D": "{4,6,8,9,10,12,14,15,16}"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "A pizza shop offers 3 toppings. You can choose 0, 1, 2, or 3 toppings. How many possible orders?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 39, "difficulty": "medium", "question": "Two dice are rolled. How many outcomes where numbers are different?", "options": {"A": "30", "B": "36", "C": "25", "D": "20"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "What is the sample space for selecting a perfect square less than 50?", "options": {"A": "{1,4,9,16,25,36,49}", "B": "{0,1,4,9,16,25,36,49}", "C": "{1,4,9,16,25,36,49,64}", "D": "{4,9,16,25,36,49}"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "A test has 3 true/false questions. How many answer patterns possible?", "options": {"A": "6", "B": "8", "C": "9", "D": "12"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "From numbers 1-20, what is the sample space for multiples of 4?", "options": {"A": "{4,8,12,16,20}", "B": "{4,8,12,16}", "C": "{4,8,12,16,20,24}", "D": "{0,4,8,12,16,20}"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "A coin is tossed until first head appears. What are possible outcomes?", "options": {"A": "{H, TH, TTH, TTTH, ...}", "B": "{H, T}", "C": "{1,2,3,4,...}", "D": "{H, TH}"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "How many outcomes when rolling a die and flipping 2 coins?", "options": {"A": "12", "B": "18", "C": "24", "D": "36"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "What is the sample space for selecting a vowel from the word 'MATHEMATICS'?", "options": {"A": "{A,E,I}", "B": "{A,E,A,I}", "C": "{A,E,I,A}", "D": "{A,E}"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "Two cards drawn from 52-card deck without replacement. How many possible pairs?", "options": {"A": "2652", "B": "1326", "C": "2704", "D": "1400"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "What is the sample space for sum of numbers when two dice are rolled?", "options": {"A": "{2,3,4,5,6,7,8,9,10,11,12}", "B": "{1,2,3,4,5,6,7,8,9,10,11,12}", "C": "{2 to 12}", "D": "{2,3,4,5,6,7,8,9,10,11,12,13}"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "A password is 2 digits (0-9). How many possible passwords if digits can repeat?", "options": {"A": "90", "B": "100", "C": "81", "D": "99"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "medium", "question": "What is the sample space for selecting a factor of 24?", "options": {"A": "{1,2,3,4,6,8,12,24}", "B": "{1,2,3,4,6,8,12}", "C": "{2,3,4,6,8,12,24}", "D": "{1,2,3,4,6,12,24}"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Three different coins (penny, nickel, dime) are tossed. How many outcomes?", "options": {"A": "6", "B": "8", "C": "9", "D": "12"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "medium", "question": "From letters A,B,C,D, how many 2-letter combinations if order doesn't matter?", "options": {"A": "6", "B": "12", "C": "16", "D": "24"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "What is the sample space for selecting a day starting with 'T'?", "options": {"A": "{Tuesday, Thursday}", "B": "{Tuesday, Thursday, Today}", "C": "{Tuesday, Thursday, Tomorrow}", "D": "{Tuesday, Wednesday, Thursday}"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "A die is rolled. What is the sample space for even numbers?", "options": {"A": "{2,4,6}", "B": "{1,2,3,4,5,6}", "C": "{2,4}", "D": "{2,4,6,8}"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "How many outcomes when flipping a coin and rolling a die where coin shows heads?", "options": {"A": "3", "B": "6", "C": "12", "D": "18"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "medium", "question": "What is the sample space for selecting a polygon with less than 6 sides?", "options": {"A": "{Triangle, Quadrilateral, Pentagon}", "B": "{Triangle, Square, Pentagon}", "C": "{Triangle, Quadrilateral}", "D": "{3 sides, 4 sides, 5 sides}"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "Two dice are rolled. How many outcomes where sum is prime?", "options": {"A": "12", "B": "15", "C": "18", "D": "21"}, "correct_answer": "B"},
    {"id": 57, "difficulty": "medium", "question": "From numbers 1-30, what is sample space for numbers divisible by 5?", "options": {"A": "{5,10,15,20,25,30}", "B": "{0,5,10,15,20,25,30}", "C": "{5,10,15,20,25}", "D": "{10,20,30}"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "A committee of 2 is chosen from 4 people. How many possible committees?", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "What is the sample space for selecting a consonant from first 10 letters of alphabet?", "options": {"A": "{B,C,D,F,G,H,J}", "B": "{B,C,D,F,G,H}", "C": "{B,C,D,F,G,H,J,K}", "D": "{B,C,D,E,F,G,H}"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Three coins are tossed. How many outcomes with at least 2 tails?", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "B"},
    {"id": 61, "difficulty": "medium", "question": "A spinner has 6 equal sectors numbered 1-6. What is sample space for odd numbers?", "options": {"A": "{1,3,5}", "B": "{1,2,3,4,5,6}", "C": "{1,3}", "D": "{1,3,5,7}"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "How many 2-digit even numbers can be formed from digits 1,2,3,4 without repetition?", "options": {"A": "4", "B": "6", "C": "8", "D": "10"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "What is the sample space for selecting a month with 30 days?", "options": {"A": "{April, June, September, November}", "B": "{February, April, June, September, November}", "C": "{April, June, September, November, December}", "D": "{January, March, May, July, August, October, December}"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "A coin is tossed and a card drawn from deck. How many total outcomes?", "options": {"A": "104", "B": "106", "C": "108", "D": "110"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "From set {1,2,3,4,5}, what is sample space for numbers > 2?", "options": {"A": "{3,4,5}", "B": "{2,3,4,5}", "C": "{1,2,3,4,5}", "D": "{3,4}"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "Two dice are rolled. How many outcomes where sum is 8 or more?", "options": {"A": "10", "B": "12", "C": "15", "D": "18"}, "correct_answer": "C"},
    {"id": 67, "difficulty": "medium", "question": "What is the sample space for selecting a color from Indian flag?", "options": {"A": "{Saffron, White, Green}", "B": "{Orange, White, Green, Blue}", "C": "{Saffron, White, Green, Blue}", "D": "{Orange, White, Green}"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "A pizza can have 0-3 toppings from 3 options. How many topping combinations?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "From letters of 'BOOK', how many different 2-letter combinations?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"},
    {"id": 70, "difficulty": "medium", "question": "What is the sample space for selecting a number divisible by 3 from 1-20?", "options": {"A": "{3,6,9,12,15,18}", "B": "{3,6,9,12,15,18,21}", "C": "{0,3,6,9,12,15,18}", "D": "{3,6,9,12,15,18,20}"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "A die is rolled twice. How many outcomes where first is even, second is odd?", "options": {"A": "6", "B": "9", "C": "12", "D": "18"}, "correct_answer": "B"},
    {"id": 72, "difficulty": "medium", "question": "From numbers 1-15, what is sample space for perfect cubes?", "options": {"A": "{1,8}", "B": "{1,8,27}", "C": "{1,4,9}", "D": "{1,8,16}"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "medium", "question": "Two coins are tossed. What is the sample space for number of heads?", "options": {"A": "{0,1,2}", "B": "{0,1}", "C": "{1,2}", "D": "{0,1,2,3}"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "How many outcomes when drawing 2 balls from 4 different colored balls without replacement?", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "D"},
    {"id": 75, "difficulty": "medium", "question": "What is the sample space for selecting a quadrilateral from shapes: circle, square, triangle, rectangle, hexagon?", "options": {"A": "{square, rectangle}", "B": "{square, rectangle, hexagon}", "C": "{square, rectangle, triangle}", "D": "{square}"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "A test has 5 multiple choice questions with 4 options each. How many answer sheets possible?", "options": {"A": "1024", "B": "625", "C": "120", "D": "3125"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "medium", "question": "From digits 0,1,2, how many 3-digit numbers can be formed if repetition allowed?", "options": {"A": "18", "B": "27", "C": "9", "D": "12"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "What is the sample space for selecting a planet from our solar system?", "options": {"A": "8 planets", "B": "9 planets", "C": "7 planets", "D": "10 planets"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "Two dice are rolled. How many outcomes where numbers are same?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"},
    {"id": 80, "difficulty": "medium", "question": "From set {a,b,c,d}, how many subsets with exactly 2 elements?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"},
    
    {"id": 81, "difficulty": "hard", "question": "A committee of 3 must include at least one woman. From 5 men and 4 women, how many possible committees?", "options": {"A": "74", "B": "80", "C": "84", "D": "90"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "How many 4-digit numbers can be formed from 1,2,3,4,5 if no digit repeats and number must be even?", "options": {"A": "48", "B": "60", "C": "72", "D": "84"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "Three dice are rolled. How many outcomes where sum is 10?", "options": {"A": "24", "B": "27", "C": "30", "D": "33"}, "correct_answer": "B"},
    {"id": 84, "difficulty": "hard", "question": "From word 'MISSISSIPPI', how many different 4-letter selections ignoring order?", "options": {"A": "11", "B": "12", "C": "13", "D": "14"}, "correct_answer": "C"},
    {"id": 85, "difficulty": "hard", "question": "A pizza has 8 slices. 3 slices have pepperoni, 2 have mushrooms, 3 have cheese. If you take 2 slices, how many possible topping combinations?", "options": {"A": "6", "B": "9", "C": "12", "D": "15"}, "correct_answer": "B"},
    {"id": 86, "difficulty": "hard", "question": "How many ways to arrange letters of 'PROBABILITY' such that vowels are together?", "options": {"A": "604800", "B": "725760", "C": "907200", "D": "1088640"}, "correct_answer": "B"},
    {"id": 87, "difficulty": "hard", "question": "From numbers 1-100, what is sample space for numbers divisible by 3 or 5?", "options": {"A": "47 numbers", "B": "53 numbers", "C": "59 numbers", "D": "61 numbers"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "A lock has 3 dials with digits 0-9. How many combinations if no two adjacent digits are same?", "options": {"A": "729", "B": "810", "C": "900", "D": "1000"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "How many triangles can be formed from 8 points on a circle?", "options": {"A": "56", "B": "64", "C": "72", "D": "84"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "From digits 0,1,2,3,4, how many 5-digit numbers greater than 30000 if repetition not allowed?", "options": {"A": "72", "B": "84", "C": "96", "D": "108"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "A test has 10 true/false questions. How many answer patterns have exactly 6 true answers?", "options": {"A": "210", "B": "252", "C": "280", "D": "300"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "From a deck of 52 cards, 5 cards drawn. How many possible hands with exactly 2 aces?", "options": {"A": "103776", "B": "112320", "C": "123552", "D": "132600"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "How many 3-digit numbers with digits from {1,2,3,4,5} are even and greater than 300?", "options": {"A": "24", "B": "30", "C": "36", "D": "42"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "A committee of 4 must have at least 2 women. From 6 men and 5 women, how many possible committees?", "options": {"A": "265", "B": "280", "C": "295", "D": "310"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "How many ways to arrange letters of 'MATHEMATICS' such that consonants are in alphabetical order?", "options": {"A": "151200", "B": "166320", "C": "181440", "D": "196560"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "From numbers 1-200, what is sample space for numbers divisible by 6 or 8?", "options": {"A": "58 numbers", "B": "62 numbers", "C": "66 numbers", "D": "70 numbers"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "A binary string of length 5 has exactly 3 ones. How many such strings?", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "B"},
    {"id": 98, "difficulty": "hard", "question": "How many rectangles can be formed on a 4×6 grid?", "options": {"A": "150", "B": "180", "C": "210", "D": "240"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "From word 'COMBINATORICS', how many 5-letter subsets contain at least one vowel?", "options": {"A": "792", "B": "924", "C": "1008", "D": "1120"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "A pizza shop offers 10 toppings. How many different 3-topping pizzas if you cannot have both mushrooms and onions?", "options": {"A": "112", "B": "120", "C": "128", "D": "136"}, "correct_answer": "A"}
  ]
}