Question

Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and

4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?

Answer 1

The manager can select a team in 61425 ways.

Explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

`C_(n,x)` is the number of different combinations of x objects from a set of n elements, given by the following formula.

`C_(n,x) = (n!)/(x!(n-x)!)`

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

`T = C_(10,2)*C_(15,4) = (10!)/(2!(10-2)!)*(15!)/(4!(15-4)!) = 45*1365 = 61425`

The manager can select a team in 61425 ways.