Question

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

• A. 330
• B. 60
• C. 55
• D. 150

Answer 1

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 =${}^5{C}_2=10$ ways.

Similarly, number of columns from B to C= 4 and number of rows= 2. Answer is based on 4 zeroes and 2 ones= ${}^6{C}_4$ =15. Total number of ways = 15$\times$10=150. Option (d)