Question

There are three different routes connecting city A to city B. How many ways can a round trip be made from A to B and back? How many ways if it is desired to take a different route on the way back?

Answer 1

a) 9 ways.

b) 6 ways.

Explanation:

We know that there are three different routes connecting city A to city B.

We calclulate how many ways can a round trip be made from A to B and back. We conclude that the exists 3·3 = 9 ways.

We calclulate how many ways can a trip be made from A to B if it is desired to take a different route on the way back. We conclude that the exists

3·2 = 6 ways.