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How many ways can 7 identical gifts be distributed among 10 children if children are allowed...

How many ways can 7 identical gifts be distributed among 10 children if children are allowed to get more than 1 gift?

Math   Statistics-And-Probability   
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Answer #1

Here Gifts and Children are different

and also we have condition that children are allowed to get more than one gift

so

gift can be given to any of the children

gift can be given to any of the children

gift can be given to any of the children

gift can be given to any of the children

and so on for all gifts.

Hence, Required number of ways

Here we conclude that we have to distribute identical gifts among 10 children with no restrictions which means that children are allowed to get more than one gift so the formula is where . so we got the final answer is

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