# Solution: In how many ways can a person drive from A to C and return?

There are five main roads between the cities A and B, and four between B and C. In how many ways can a person drive from A to C and return, going through B on both trips without driving on the same road twice?

#### Problem Statement: EE Board October 1996

There are five main roads between the cities A and B, and four between B and C. In how many ways can a person drive from A to C and return, going through B on both trips without driving on the same road twice?

There are 240 ways can a person drive from A to C and return, going through B on both trips without driving on the same road twice.

Solution:

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