Five different games are to be distributed among 4 children randomly. The probability that each child get at least one game is
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a
14
b
1564
c
2164
d
None of these
answer is B.
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Detailed Solution
Total number of ways of distribution is 45∴ n(S)=45Total number of ways of distribution so that each child gets at least one game is 45−4C135+4C225−4C3=1024−4×243+6×32−4= n(E)=240Therefore, the required probability is n(E)n(S)=24045=1564