A local bbq restaurants offers 2 side dishes with a lunch plate. there are 7 side dishes. how many choices of side dishes does a customer have? note: there is no requirement that the customer chooses different side dishes (i. e. he or she can choose say baked beans twice as their side dish) and baked beans and slaw is the same as slaw and baked beans.

Question

Edith Huynh

Mathematics

10 December, 17:49

A local bbq restaurants offers 2 side dishes with a lunch plate. there are 7 side dishes. how many choices of side dishes does a customer have? note: there is no requirement that the customer chooses different side dishes (i. e. he or she can choose say baked beans twice as their side dish) and baked beans and slaw is the same as slaw and baked beans.

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Answers (1)

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Janet Bell · Answer 1

We use the formula of combinations where r objects from a set of n objects.

Since there are 7, we picked 2 and the order does not matter.

C (n, r) = C (7,2)

7!

Divided by

(2! (7-2) !)

= 21

The answer is there are 21 choices of side dishes a customer can have.