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Quantitative Aptitude

Derangement

There are 3 l...

Question

There are 3 letters and 3 envelopes. Find the number of ways in which all letters are put in the wrong envelopes.

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is B 2
The required number of ways
$= 3! [1 - \frac{1}{1!} + \frac{1}{2!} - \frac{1}{3!}] = 3 - 1 = 2$

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