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Q.

A local post office is to send M telegrams which are distributed at random over N communication channels, (N > M). Each telegram is sent over any channel with equal probability. Chance that not more than one telegram will be sent over each channel is

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a

NCM×N!MN

b

NCM×M!NM

c

1− NCM×M!MN

d

1− NCM×N!NM

answer is B.

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Detailed Solution

Since lines are more than telegrams,  NCM are those lines where telegrams will be sent.So, number of favourable cases =NCM×M!Total number of cases = NM          [As first telegram can go in any one of n lines]So, required probability= NCM×M!NM
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A local post office is to send M telegrams which are distributed at random over N communication channels, (N > M). Each telegram is sent over any channel with equal probability. Chance that not more than one telegram will be sent over each channel is