Question

Please Explain how you got this answer

Answer 1

"My fruit salad is a combination of apples, grapes and bananas" We don't care what order the fruits are in, they could also be "bananas, grapes and apples" or "grapes, apples and bananas", its the same fruit salad.

When the order doesn't matter, it is a Combination.

The formula means the number of ways to combine k items from a set of n

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n = 4 (brisket, chicken, ribs, turkey)
k = 2 (two-meat combos)

$_nC_k= \frac{n!}{k!(n-k)!} \\ \\ _nC_k= \frac{4!}{2!(4-2)!} \\ \\ _nC_k= \frac{4!}{2!2!} \\ \\_nC_k= \frac{4*3*2*1}{2*1*2*1} \\\\ _nC_k= \frac{4*3}{2*1} \\\\_nC_k= 2*3 \\\\_nC_k=6$