A chef has 10 brands of hot sauce. In how many ways can the chef pick 3 to mix into a gumbo? There are different ways. (Simplify your answer

Question

A chef has 10 brands of hot sauce. In how many ways can the chef pick 3 to mix into a gumbo? There are different ways. (Simplify your answer.)

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2 weeks 2021-09-09T10:41:17+00:00 1 Answer 0

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  1. Charlotte
    0
    2021-09-09T10:42:44+00:00

    Answer:

    Step-by-step explanation:

    For this problem you have to use combinations. from 10 choices you are choosing 3. This means you are doing 10 choose 3. If you don’t know what choose is I can explain.

    Any number x choose y is the same as (x factorial)/(y factorial)(x-y factorial).

    In this case that is 10 factorial/3 factorial times 7 factorial. ten factorial is the same as 10*9*8*7 factorial. So in the original equation you can factor away the seven factorials to get 10*9*8/3*2*1 factoring again you get 10*3*4  which is 120.

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