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Question

There are 5 letters and 5 directed envelopes.The number of ways in which all the letters can be put in wrong envelope is

A
119
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B
44
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C
59
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D
40
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Solution

The correct option is C 44
5 letters 5 directed envelope
All the of letters Put wrong wrong :
Number of ways =
=[111!+12!13!+14!15!]5!=[11+1216+1241120]5!=[26+4120]5!=[13+130]5!=[1130]120=44

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