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8 May, 03:51

How many three-digit numbers can you create using only the digits 6, 7, 8, and 9 if each digit cannot be repeated in any three-digit number (all digits must be different) ?

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  1. 8 May, 06:41
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    24

    Step-by-step explanation:

    We are solving for variation (without repitition)

    n = 4 digits (6,7,8,9)

    p = 3 digits no.

    variation = nfactorial / (n-p) factorial.

    4x3x2x1 / (4-3) factorial = 24/1

    = 24.

    there are 24 3-digit number you can select from 6,7,8,9 without having a recurring number.
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