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?

Question

Mathematics

Elias Nichols

4 October, 18:33

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?

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Answers (1)

Know the Answer?

Harper Leblanc · Answer 1

a) 9 ways.

b) 6 ways.

Step-by-step 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.