Question

How many ways can 10 people be seated on a bench if 4 seats are available

Answer 1

Answer:only 4 people can sit

Explanation:

Answer 2

5040 ways

Explanation:

The order is important.

For example, if John, Rose, Elisa and Josh are seated, this is a different way than Rose, John, Elisa and Josh. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

In this problem, we have that:

Permutation of 4 people(seated) from a group of 10. So

`P_((10,4)) = (10!)/((10-4)!)) = 5040`

5040 ways