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?

Respuesta :

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)

= [tex]\frac{6!}{3!}[/tex] = [tex]\frac{6\times5\times4\times3\times2\times1}{3\times2\times1}[/tex]

= [tex]6\times5\times4=120[/tex]

Hence, 120 different routes are possible.