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Q.

Five different games are to be distributed among four children randomly. The probability that each child get at least one game is p, then the value of [1/p] is, where [.] represents the greatest integer function, _________.

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answer is 4.

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Detailed Solution

Total ways of distribution = n(S) = 45Total ways of distribution so that each child get at least one gamen(E)=45−4C135+4C225−4C3=1024−4×243+6×32−4=240Required probability p=n(E)n(S)=24045=1564
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Five different games are to be distributed among four children randomly. The probability that each child get at least one game is p, then the value of [1/p] is, where [.] represents the greatest integer function, _________.