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Read the following passage carefully:
6 letters are written by a person to his 6 friends. The address of each friend is written on 6 envelopes. Letters are put in the addressed envelopes at random then
Attempt the following questions based on the passage:
The probability that exactly one letters go into wrong addressed envelopes is

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$\frac{1}{720}$

$\frac{719}{720}$

$\frac{53}{144}$

answer is A.

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Detailed Solution

6 letters are placed in 6 addressed envelopes

$∴ n (S) = 6! = 720$

B=exactly one letter is placed into wrong addressed envelopes

n(B)=0

since it is not possible

$P (E) = 0$

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