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Question

A person can only move upwards or towards right. In how many ways can he travel from A to C via B


  1. 330

  2. 60

  3. 55

  4. 150


Solution

The correct option is D

150


This question can be visualized as a similar to different question in P&C (refer e booklet for indepth explanation of concept)

Number of columns from A to B= 3 and rows= 2. Answer is based on 3 zeros and 2 ones =5C2=10 ways.

Similarly, number of columns from B to C= 4 and number of rows= 2. Answer is based on 4 zeroes and 2 ones= 6C4 =15. Total number of ways = 15×10=150. Option (d)

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