[
  {
    "Question": "How many different ways can 3 students be arranged in a line from a group of 5 students?",
    "Answer": "B",
    "Explanation": "The number of ways to arrange 3 students out of 5 is a permutation: P(5,3) = 5 × 4 × 3 = 60.",
    "PictureURL": "",
    "OptionA": "10",
    "OptionB": "60",
    "OptionC": "125",
    "OptionD": "20",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Permutation Arrangement",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "In how many ways can you choose 4 books from a shelf of 10 books?",
    "Answer": "C",
    "Explanation": "Choosing 4 books from 10 without regard to order is a combination: C(10,4) = 210.",
    "PictureURL": "",
    "OptionA": "5040",
    "OptionB": "2100",
    "OptionC": "210",
    "OptionD": "24",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Combination Selection",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "What is the value of 7P4 (the number of permutations of 7 items taken 4 at a time)?",
    "Answer": "A",
    "Explanation": "7P4 = 7 × 6 × 5 × 4 = 840.",
    "PictureURL": "",
    "OptionA": "840",
    "OptionB": "210",
    "OptionC": "5040",
    "OptionD": "35",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Permutation Calculation",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many different 3-letter codes can be formed from the letters A, B, C, D, E if repetition is allowed?",
    "Answer": "D",
    "Explanation": "Since repetition is allowed, each position can be any of 5 letters: 5 × 5 × 5 = 125.",
    "PictureURL": "",
    "OptionA": "60",
    "OptionB": "10",
    "OptionC": "20",
    "OptionD": "125",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Permutations with Repetition",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "From a group of 8 people, a committee of 3 is to be formed. How many different committees are possible?",
    "Answer": "B",
    "Explanation": "Order does not matter in committees, so use combinations: C(8,3) = 56.",
    "PictureURL": "",
    "OptionA": "336",
    "OptionB": "56",
    "OptionC": "24",
    "OptionD": "512",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Committee Formation",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many ways can the letters of the word 'LEVEL' be arranged?",
    "Answer": "C",
    "Explanation": "The word 'LEVEL' has 5 letters with L repeated twice and E repeated twice. Number of arrangements = 5! / (2! × 2!) = 120 / 4 = 30.",
    "PictureURL": "",
    "OptionA": "60",
    "OptionB": "20",
    "OptionC": "30",
    "OptionD": "15",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Permutations with Repeated Letters",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "A password consists of 4 digits chosen from 0-9 without repetition. How many such passwords are possible?",
    "Answer": "B",
    "Explanation": "Number of permutations of 10 digits taken 4 at a time: 10 × 9 × 8 × 7 = 5040.",
    "PictureURL": "",
    "OptionA": "10000",
    "OptionB": "5040",
    "OptionC": "3024",
    "OptionD": "210",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Digit Passwords Without Repetition",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many ways can 5 different medals be awarded to 8 athletes if no athlete can receive more than one medal?",
    "Answer": "A",
    "Explanation": "This is a permutation of 8 athletes taken 5 at a time: P(8,5) = 8 × 7 × 6 × 5 × 4 = 6720.",
    "PictureURL": "",
    "OptionA": "6720",
    "OptionB": "40320",
    "OptionC": "56",
    "OptionD": "336",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Awarding Medals",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many 5-card hands can be dealt from a standard 52-card deck?",
    "Answer": "C",
    "Explanation": "Order does not matter, so use combinations: C(52,5) = 2,598,960.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Playing_card_spade_A.svg/120px-Playing_card_spade_A.svg.png",
    "OptionA": "311,875,200",
    "OptionB": "2,598,960,000",
    "OptionC": "2,598,960",
    "OptionD": "52^5",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Card Hand Combinations",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "If you have 6 different colored balls, how many ways can you select 3 balls if order matters?",
    "Answer": "B",
    "Explanation": "Order matters, so use permutations: P(6,3) = 6 × 5 × 4 = 120.",
    "PictureURL": "",
    "OptionA": "20",
    "OptionB": "120",
    "OptionC": "56",
    "OptionD": "216",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Permutations of Colored Balls",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many ways can the letters of the word 'BANANA' be arranged?",
    "Answer": "D",
    "Explanation": "The word has 6 letters with A repeated 3 times and N repeated 2 times. Number of arrangements = 6! / (3! × 2!) = 720 / (6 × 2) = 60.",
    "PictureURL": "",
    "OptionA": "120",
    "OptionB": "180",
    "OptionC": "90",
    "OptionD": "60",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Permutations with Multiple Repetitions",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "From 12 people, how many ways can you select a president, vice-president, and secretary?",
    "Answer": "A",
    "Explanation": "Positions are distinct, so order matters: P(12,3) = 12 × 11 × 10 = 1320.",
    "PictureURL": "",
    "OptionA": "1320",
    "OptionB": "220",
    "OptionC": "495",
    "OptionD": "1728",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Selecting Officers",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many 4-digit numbers can be formed using digits 1, 2, 3, 4, 5 if repetition is not allowed?",
    "Answer": "C",
    "Explanation": "Number of permutations of 5 digits taken 4 at a time: 5 × 4 × 3 × 2 = 120.",
    "PictureURL": "",
    "OptionA": "625",
    "OptionB": "24",
    "OptionC": "120",
    "OptionD": "60",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "4-digit Numbers Without Repetition",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many ways can you arrange the letters in the word 'MISSISSIPPI'?",
    "Answer": "B",
    "Explanation": "The word has 11 letters with M=1, I=4, S=4, P=2. Number of arrangements = 11! / (1! × 4! × 4! × 2!) = 34650.",
    "PictureURL": "",
    "OptionA": "27720",
    "OptionB": "34650",
    "OptionC": "46200",
    "OptionD": "55440",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Permutations of MISSISSIPPI",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  },
  {
    "Question": "How many ways can you select 2 fruits from a basket containing apples, oranges, bananas, and grapes?",
    "Answer": "B",
    "Explanation": "Order does not matter, so use combinations: C(4,2) = 6.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/1/15/Red_Apple.jpg/120px-Red_Apple.jpg",
    "OptionA": "12",
    "OptionB": "6",
    "OptionC": "4",
    "OptionD": "8",
    "TestName": "Permutations and Combinations Practice Test",
    "Content Type": "Question",
    "Title": "Selecting Fruits",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Permutations and combinations"
  }
]