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30 September, 15:59

A quiz has eight multiple choice questions with four options for each (A B C & D) how many ways are there to answer the question

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  1. 30 September, 16:40
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    1680 ways.

    Step-by-step explanation:

    This question is solved using Permutation formula.

    Permutation formula is given as

    nPr = n! / (n - r) !

    In the above question we are to find how many ways we can answer 8 multiple choice questions with 4 options (A, B, C, D)

    Therefore,

    n = 8 multiple choice questions

    r = 4 options

    nPr = n! / (n - r) !

    8P4 = 8! / (8 - 4) !

    8P4 = 8! / 4!

    8P4 = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (4 * 3 * 2 * 1)

    8P4 = 40320 / 24

    8P4 = 1680 ways

    Therefore, the number of ways to answer 8 multiple choice questions with 4 options (A, B, C, D) for each is 1680 ways.
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