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Question

A person writes 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, what is the probability that all letters are not places in the right envelopes ?

A
14
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B
1124
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C
1524
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D
2324
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Solution

The correct option is B 14
Given that a person writes four letter and address four envelopes then,
Number of ways in which four letter can be placed in four envelopes is 4!=24 ways
Now, if all the letters go into the right envelopes then that can be done only in 1 way.
The probability that the letters go into the right envelop=124
the probability that one go into the right envelops is 1124=2324
Hence the required probability is 2324.

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