Question

The general manager of a fast-food restaurant chain must select 6 restaurants from 16 for a promotional program. How manydifferent possible ways can this selection be done?It is possible to select the six restaurants indifferent ways.х5

Answer 1

To know how many possible ways, we have to use the combination formula:

`\text{nCr}`

where n is the total sample, and r is the number we want.

In our case, n = 16 and r = 6. Then, replacing these values in the formula, we get:

`16C6`

The latter can be also written as:

`(16!)/((16-6)!\cdot6!)`

Solving this expression we get...

Answer: 8008