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A postman can put 12 letters into their respective envelopes such that exactly 5 will go into the right envelope. Find the number of ways of doing this work.

A postman can put 12 letters into their respective envelopes such that exactly 5 will go into the right envelope. Find the number of ways of doing this work. Correct Answer 1610496

The number of ways in which the 5 correct envelopes can be selected = 12C5 = 864 Derangement of the remaining 7 envelopes & letters = 1864 (derangement value for 7 is 1864) Total No of ways of arrangement = 1864 * 864 = 1610496.

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