Wrong envelop

Probability Level pending

A correspondent prepared 7 letters and 7 envelopes with different addresses, one for each letter. In how many ways, all the 7 letters could be placed in wrong envelopes?

42 1854 5030 124

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1 solution

Jeby Oommen
Nov 24, 2015

Number of derangement for n objects d(n) = (n-1) ( d(n-1) + d(n-2) )

d(7) = 6 ( 265 + 44 ) = 1,854

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