Question

With a short time remaining in the day, a delivery driver has time to make deliveries at 5 locations among the 9 locations remaining. How many different routes are possible?

There are possible different routes.

Answer 1

15,120

Explanation:

The computation of the number of different routes are possible is shown below:

Since there are 5 locations for deliveries among the 9 locations that left

So, the number of routes that could be possible is

`= ^9P_5\\\\= (9!)/(9-5!) \\\\= (9!)/(4!) \\\\= (9* 8* 7* 6* 5* 4!)/(4!)\\\\= 15,120`