Em uma perfumaria, um cliente pode montar um kit formado por um sabonete, um hidratante e um perfume. A loja possui 5 opções de sabonete, 8 de hidratante e 4 de perfume. Quantos kits diferentes um cliente poderá formar na perfumaria?

The customer can form 160 different kits in the perfumery

Step-by-step explanation:

Here, we are interested in knowing the number of different kits a customer can form in the perfumery.

Now since each kit contains 1 each of moisturizers, soaps and perfume, what will happen is that we are going to select one each of the options

This means we shall be selecting 1 out of 5 soaps, 1 out of 8 moisturizer and 1 out of 4 perfumes

Mathematically, the number of ways we can select r items out of a total of n can be calculated as nCr

Applying this in the case we have;

It would be;

8C1 * 5C1 * 4C1

where

8C1 = 8, 5C1 = 5 and 4C1 = 4

Thus the number of options we have will be

= 8 * 5 * 4 = 40 * 4 = 160 kits