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Question

Suppose there are four roads from station A to station B and 3 roads between station B and station C. Find the number of ways in which one can drive from station A to station C via station B.



A

16

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B

12

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C

7

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D

4

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Solution

The correct option is B

12


There are four ways in which one can drive from A to B and for each way from A to B, there are three ways to drive from B to C. By FCPP, the total number of ways one can drive from A to C via B is 4 x 3 = 12


Mathematics

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