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Question

The number of ways in which five identical balls can be distributed among ten identical boxes such that no box contains more than one ball, is?


A

10!

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B

10!5!

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C

10!5!2

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D

None of these

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Solution

The correct option is C

10!5!2


The explanation for the correct answer.

Find the number of ways:

Given: Total number of boxes are 10 and the balls are 5.

Five identical balls are distributed among ten boxes,

=C510

=10!5!10-5!

=10!5!2

Hence option (c) is the correct answer.


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