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There are 6 trains running between New D...

There are 6 trains running between New Delhi and Darbhanga. In how many ways can a man go from New Delhi to Darbhanga and return by a different trains?

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A man can go from New Delhi to Durbhanga in 6 ways by any one of the 6 trains available . Then he can return from Darbhanga to New Delhi in 5 ways by the remaining 5 trains, since he cannot return by the same train by which he goes to Darbhanga from New Delhi.
Thus the required number of ways =`6xx5=30`
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