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

5040 ways

Step-by-step 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:

In this problem, we have that:

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

5040 ways

30,40,50 is correct answer