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Conditional Probability

The number of...

Question

The number of ways in which 10 identical apples can be distributed among 6 children so that each child receives atleast one apple is

A

126

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B

252

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C

378

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D

none of these

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Solution

The correct option is C $126$
The general formula for distributing $n$ things amongst $r$ people is,
$\Rightarrow^{n - 1} C_{r - 1} =^{9} C_{5}$
$= 126$
Hence, the answer is $126$

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