how many three digit numbers can you make with the digits 3,6,7,and 9,using each digit only once in any number

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how many three digit numbers can you make with the digits 3,6,7,and 9,using each digit only once in any number

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    2021-10-11T07:42:35+00:00

    Answer:

    There is 24 possible 3 digit numbers using 3, 6, 7, 9 with no repeated digits.

    Step-by-step explanation:

    We need to find the amount of permutations of size 3 that can be made from a set of size 4. We can write this as 4_P_3.

    We can use this formula to find the amount of permutations:

    n_P_k = \frac{n!}{(n - k)!}

    We fill in our values:

    4_P_3 = \frac{4!}{(4 - 3)!}

    4_P_3 = \frac{4 * 3 * 2 * 1}{1}

    4_P_3 = 24

    There is 24 possible 3 digit numbers using 3, 6, 7, 9 with no repeated digits.

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