If three letters can be posted to any one of 5 different addresses, then probability that three lett

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14.Probability

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If three letters can be posted to any one of the $5$ different addresses, then the probability that the three letters are posted to exactly two addresses is:

A

$\frac{12}{25}$

B

$\frac{18}{25}$

C

$\frac{4}{25}$

D

$\frac{6}{25}$

(JEE MAIN-2024)

Solution

Total method $=5^3 $

faverable $={ }^5 \mathrm{C}_2\left(2^3-2\right)=60 $

probability $=\frac{60}{125}=\frac{12}{25}$

Standard 11

Mathematics

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