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Q.

Ravish writes letters to his five friends and addresses the corresponding envelopes. The number of ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes is

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a

44

b

59

c

119

d

120

answer is C.

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Detailed Solution

No of ways of keeping 5 letter in to 5 envelopes is 5!=120

No of ways of keeping 5 letters in 5 addressed envelopes all in correct places=1

 ∴ No of ways of keeping 5 letters in 5 envelopes so that atl east 2 in wrong places=120-1=119

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