Question

With a short time remaining in the​ day, a delivery driver has time to make deliveries at 4 locations among the 6 locations remaining. How many different routes are​ possible? There are nothing possible different routes.

Answer 1

Answer:

360

Step-by-step explanation:

6C4×4!

= 15 × 24

= 360

Answer 2

Answer:

There are 360 possible different routes.

Step-by-step explanation:

Among the 4 locations, different orders are different routes, so the order is important.

This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

How many different routes are​ possible?

4 locations from a set of 6. So

$P_{(6,4)} = \frac{6!}{(6-4)!} = 360$

There are 360 possible different routes.