Question

With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3 locations among the 6 locations remaining. How many different routes are​ possible?

Answer 1

120 routes are possible.

Explanation:

The delivery driver has time to make deliveries at 3 locations among the 6 locations remaining.

So, the number of ways of choosing 3 out of 9 locations is given by :

6P3 ways (permutation because order of locations will matter)

=
`(6!)/(3!)` =
`(6*5*4*3*2*1)/(3*2*1)`

=
`6*5*4=120`

Hence, 120 different routes are possible.