With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7 locations among the 9 locations remaining. How many different routes are​ possible?

Question

With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7 locations among the 9 locations remaining. How many different routes are​ possible?

There are __ possible different routes.

​(Simplify your​ answer.)

Answer 1

The order of deliveries does not matter. This is a combination,

₉C₇ = 9! / (9 - 7)!(7!)