Question

There are 6 trains running between Indore and Bhopal. In how many ways can a man go from Indore to Bhopal and return by a different train?

• A. 20
• B. 25
• C. 30
• D. 35

Answer 1

The correct option is C 30

A man can go from Indore to Bhopal in 6 ways by any one of the 6 trains available. Then he can return from Bhopal to Indore in 5 ways by the remaining 5 trains, since he cannot return by the same train by which he goes to Bhopal from Indore.
Thus the required number of ways = 6 $\times$5 = 30