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Question

If the number of ways in which n different things can be distributed among n persons so that at least one person does not get any thing is 232. Then n is equal to

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Solution

Total number of ways = nn

Number of ways so that each person gets at least one thing (here exactly one thing) = n!

Given, nn – n! = 232

111!=0,222!=2,333!=21,444!=232 n=4


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