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Question

Albert trains by running through several small towns.
He runs on two different routes from town A to B. He knows three different running routes from B to C.
Find how many different paths he knows from A to C.

A
6
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B
3
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C
4
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D
5
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Solution

The correct option is A 6
There are 2 different routes from A to B and 3 different routes from B to C.

He can reach C by running through any of the three routes, i.e., (1, 3) (1, 4), and (1, 5).
Thus, he has 3 routes from A to C if he chooses path 1.

Albert chose path 2 from A to B:
He can reach C by running through any of the three routes, i.e., (2, 3), (2, 4), and (2, 5).
Thus, he has 3 routes from A to C if he chooses path 2.

Total routes Albert knows from A to C = 3 + 3 = 6

Thus, Albert knows 6 routes from A to C.

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