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

Answer:

120 routes are possible.

Step-by-step 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)

= $\frac{6!}{3!}$ = $\frac{6\times5\times4\times3\times2\times1}{3\times2\times1}$

= $6\times5\times4=120$

Hence, 120 different routes are possible.