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Permutations, combinations and probability

Class 11 · Mathematics · 8 questions

Name: ____________________   Date: ____________

  1. What is 5 factorial?

    • A 60
    • B 120
    • C 720
    • D 25
  2. How many ways can 3 books be arranged on a shelf?

    • A 3
    • B 12
    • C 6
    • D 9
  3. What is 5C2?

    • A 10
    • B 5
    • C 25
    • D 20
  4. A die is thrown once. The probability of an even number is:

    • A 1/3
    • B 2/3
    • C 1/2
    • D 1/6
  5. The number of arrangements of the letters of the word MOON is:

    • A 12
    • B 6
    • C 24
    • D 4
  6. The value of 6P2 is:

    • A 15
    • B 12
    • C 36
    • D 30
  7. The number of ways of choosing 2 people from 4 is:

    • A 8
    • B 6
    • C 12
    • D 4
  8. A coin is tossed twice. The probability of two heads is:

    • A 1/4
    • B 1/8
    • C 1/2
    • D 3/4

Answer key

1. B, 2. C, 3. A, 4. C, 5. A, 6. D, 7. B, 8. A

  1. 5! = 120.

  2. 3! = 6.

  3. 5! / (2! 3!) = 10.

  4. Three of the six faces are even.

  5. 4! / 2! = 12 because O repeats twice.

  6. 6 x 5 = 30.

  7. 4C2 = 6.

  8. (1/2) x (1/2).