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hasnain

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From: Chichawatni

Registered: 2014-10-13

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Clockwise Or Anticlockwise:

Directions:

Question:
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?

Option A):
8
Option B):
4
Option C):
6
Option D):
2

Correct Answer is Option A):
8

Explanation:
Amy can travel clockwise or anticlockwise on the diagram.
Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.
Similarly, anticlockwise she has four different routes.
Total routes = 8

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