Question

With a short time remaining in the​ day, a delivery driver has time to make deliveries at 4 locations among the 6 locations remaining. How many different routes are​ possible? There are nothing possible different routes.

Answer 1

360

Explanation:

6C4×4!

= 15 × 24

= 360

Answer 2

There are 360 possible different routes.

Explanation:

Among the 4 locations, different orders are different routes, so the order is important.

This means that we use the permutations formula to solve this question.

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)!)`

How many different routes are​ possible?

4 locations from a set of 6. So

`P_((6,4)) = (6!)/((6-4)!) = 360`

There are 360 possible different routes.