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.