QUESTION

CSAT

Easy

Maths

Prelims 2022

A, B and C are three places such that there are three different roads from A to B, four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads?

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Explanation

  1. Direct Roads from A to C: There are 3 different roads from A to C, so one can travel directly from A to C in 3 ways.

  2. Indirect Paths (via B): From A to B, there are 3 different roads. From B to C, there are 4 different roads. Therefore, the number of ways to travel from A to C via B is: 3×4=123 \times 4 = 12 ways.

Q27

Q27

  1. Total Ways to Travel from A to C: By adding the direct and indirect routes: - Total ways = (3+12=15)(3 + 12 = 15).

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