There are n letters and n addressed envelopes | vedclass

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Question

(A) The total number of ways to place $n$ letters into $n$ envelopes is $n!$. Only one specific arrangement corresponds to the case where every letter

Vedclass · Accepted Answer

$\frac{1}{n!}$

Vedclass · Answer

(A) The total number of ways to place $n$ letters into $n$ envelopes is $n!$. Only one specific arrangement corresponds to the case where every letter is placed in its correct envelope. Therefore,the number of favorable outcomes is $1$. The probability $P$ is given by the ratio of favorable outcomes to total outcomes: $P = \frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{1}{n!}$.

There are $n$ letters and $n$ addressed envelopes. The probability that each letter is placed in the correct envelope is:

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