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Quantitative Aptitude

Derangement

In how many w...

Question

In how many ways can you put 7 letters into their respective envelopes such that exactly 3 go into the right envelope?

A

24

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B

102

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C

315

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D

530

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E

360

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Solution

The correct option is C 315
No of ways in which the 3 correct envelopes can be selected= $^{7}$ C $_{3}$ =35

Derangement of 4 envelopes & letters = 9 (derangement value for 4 is 9)

Total No of ways of arrangement = 9 $\times$ 35= 315

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