Question

A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4-topping sandwich?

Answer 1

There are 7,315 different combinations, thus, the correct option is c

How many combinations are there?

If we have a set of N elements, the number of different combinations of K elements (such that K ≤ N) of these N elements that we can make is:

$C(N, K) = \frac{N!}{(N - K)!K!}$

In this case we have K = 4 and N = 22, replacing that, we get:

$C(22, 4) = \frac{22!}{(22 - 4)!*4!} = \frac{22*21*20*19}{4*3*2*1} = 7,315$

So there are 7,315 different combinations, thus, the correct option is c.

If you want to learn more about combinations:

brainly.com/question/11732255

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