Question

10 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 4 samples. how many different selections can a customer make?

Answer 1

The number of different selections that a customer can make is of 210.

How to find the number of different selections that the customer can make?

To calculate the number of different selections that the customer can make, we need to verify if the order of the selections matters or not, then:

• If the order matters, permutation is used.

• If the order does not matter, combination is used.

In the context of this problem, the order does not matter, hence the combination formula is used.

The number of combinations, from a set of n elements, of x elements, is given according to the following rule:

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

In this problem, the number of selections is of 4 samples from a set of 10 samples, hence it is calculated as follows:

$C_{10,4} = \frac{10!}{4!6!} = 210$

A similar problem, also about the combination formula, is given at https://brainly.com/question/25821700

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