There are n letters and n addressed envelopes | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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:

Similar Questions

In a simultaneous toss of $2$ coins,find the probability of getting exactly $1$ tail.

Three dice are thrown. Find the chance of getting a sum of $16$.

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. $2$ balls are drawn from the urn with replacement. Find the probability of getting no success.

In a single throw of $2$ dice,find the probability of getting a total of $3$ or $5$.

$A$ box contains $10$ red balls and $15$ green balls. If two balls are drawn in succession,then the probability that one is red and the other is green is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module