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Four boys picked 30 apples. The number o...

Four boys picked 30 apples. The number of ways in which they can divide then if all the apples are identical is

Text Solution

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Clearly, 30 mangoes can be distributed among 4 boys such that each boy can receive any number of mangoes.
Hence, total number of ways=`.^(30+4-1)C_(4-1)`
`=.^(33)C_(3)=(33*32*31)/(1*2*3)=5456`
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