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Three letters, to each of which correspo...

Three letters, to each of which corresponds an envelope, are placed in the envelopes at random. The probability that all the letters are not placed in the right envelopes, is

A

`1//6`

B

`5//6`

C

`1//3`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
B
Three letters can be placed in 3 envelopes in 3! Ways whereas there is only one way of placing them in their right envelopes.
So, probability that all the letters are placed in the right envelopes `=1/(3!)`
Hence,required probability
`=1-1/(3!)=5/6`
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