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15 January, 02:09

How many different ways can 4 rolls of film be selected from 50 rolls? (Permutation and combination question)

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  1. 15 January, 02:21
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    Number of ways to chose rolls = 5,527,200

    Step-by-step explanation:

    Given:

    Total number of films rolls (n) = 50

    Selected number of films rolls (r) = 4

    Find:

    Number of ways to chose rolls.

    Computation.

    Permutation problem.

    Number of ways to chose rolls = n! / (n! - r!)

    Number of ways to chose rolls = 50! / (50! - 4!)

    Number of ways to chose rolls = 50! / (46!)

    Number of ways to chose rolls = 50 * 49 * 48 * 47

    Number of ways to chose rolls = 5,527,200
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