Question

A chef has 13 brands of hot sauce. In how many ways can the chef pick 4 to mix into a gumbo. Simplify your answer.

Answer 1

Answer:

715 ways

Step-by-step explanation:

The order in which the brands are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

4 from a set of 13. So

$C_{13,4} = \frac{13!}{4!(13-4)!} = 715$

715 ways