The number of ways in which five identical ba | vedclass

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(C) Since the $5$ balls are identical and the $10$ boxes are identical,the distribution depends only on the selection of the boxes.Because each box ca

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$\frac{10!}{(5!)^2}$

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(C) Since the $5$ balls are identical and the $10$ boxes are identical,the distribution depends only on the selection of the boxes.Because each box can contain at most one ball,we need to select $5$ boxes out of $10$ to place the balls.Since the boxes are identical,the number of ways to choose $5$ boxes out of $10$ is given by the combination formula $^{10}C_5$.$^{10}C_5 = \frac{10!}{5!(10-5)!} = \frac{10!}{5! 	imes 5!} = \frac{10!}{(5!)^2}$.

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

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