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Question

If 25 blankets are distributed among 5 persons then the probability that each person gets odd number of blankets is

A
14C1029C4
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B
17C429C4
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C
12
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D
10C429C4
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Solution

The correct option is A 14C1029C4
Number of blankets each person should get is odd so each person can get 2λi+1 blankets where λi0
For 5 persons
2(λ1+λ2+λ3+λ4+λ5)+5=25
λ1+λ2+λ3+λ4+λ5=10
Number of ways of distributing odd number of blankets will be
10+51C51=14C4=14C10
Total number of ways to distribute the blankets without any restriction
25+51C51=29C4
Required probability=14C1029C4

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