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(D) The first event of going from Delhi to Mumbai can be performed in $15$ ways as he can choose any of the $15$ buses.Since the man must return by a

Vedclass · Accepted Answer

$210$

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(D) The first event of going from Delhi to Mumbai can be performed in $15$ ways as he can choose any of the $15$ buses.Since the man must return by a different bus,the event of returning from Mumbai to Delhi can be performed in $15 - 1 = 14$ ways.According to the fundamental principle of counting,the total number of ways to perform both events is the product of the number of ways to perform each event.Therefore,total ways = $15 	imes 14 = 210$ ways.

There are $15$ buses running between Delhi and Mumbai. In how many ways can a man go to Mumbai and return by a different bus?

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