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Permutations, combinations and probability

Written by Hassan Raza (Mathematics)

8 Class 11 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. What is 5 factorial?

    • 1 60
    • 2 120
    • 3 720
    • 4 25
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    Correct answer: 120

    5! = 120.

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  2. How many ways can 3 books be arranged on a shelf?

    • 1 3
    • 2 12
    • 3 6
    • 4 9
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    Correct answer: 6

    3! = 6.

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  3. What is 5C2?

    • 1 10
    • 2 5
    • 3 25
    • 4 20
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    Correct answer: 10

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

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  4. A die is thrown once. The probability of an even number is:

    • 1 1/3
    • 2 2/3
    • 3 1/2
    • 4 1/6
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    Correct answer: 1/2

    Three of the six faces are even.

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  5. The number of arrangements of the letters of the word MOON is:

    • 1 12
    • 2 6
    • 3 24
    • 4 4
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    Correct answer: 12

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

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  6. The value of 6P2 is:

    • 1 15
    • 2 12
    • 3 36
    • 4 30
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    Correct answer: 30

    6 x 5 = 30.

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  7. The number of ways of choosing 2 people from 4 is:

    • 1 8
    • 2 6
    • 3 12
    • 4 4
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    Correct answer: 6

    4C2 = 6.

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  8. A coin is tossed twice. The probability of two heads is:

    • 1 1/4
    • 2 1/8
    • 3 1/2
    • 4 3/4
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    Correct answer: 1/4

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

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