Q.

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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a

3

b

4

c

5

d

None of these

answer is B.

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Detailed Solution

Total number of ways = nnNumber of ways so that each person gets at least one thing (here exactly one thing) = n!Given, nn – n! = 23211−1!=0,22−2!=2,33−3!=21,44−4!=232∴ n=4
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