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There are n letters and n addressed e...

There are `n` letters and `n` addressed envelopes. Find the probability that all the letters are not kept in the right envelope.

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The correct Answer is:
`1 - (1)/(n!)`
Required probability is 1 - P(all letters in right envelope) = 1 - 1/n!
(As there are total number of n! ways in which letters can take envelopes and just one way in which they have corresponding envelopes.)
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CENGAGE-PROBABILITY I -Exercise 9.2
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  16. Let the nine different letters A, B, C… I in {1, 2, 3, …, 9}. Then f...

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  17. If two distinct numbers m and n are chosen at random form the set {1, ...

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