QJEEM24Maed80: JEE Main 2024 Mathematics - Class 12 JEEM24Maed80 Solution: If three letters can be posted to any one of the 5 different…

We have 3 letters and 5 addresses, where 3 letters are posted to exactly 2 addresses. First, we will select 2 addresses in ${ }^5 C_2$ ways.

Now, 3 letters can be posted to exactly 2 addresses in 6 ways.

$\begin{aligned}\therefore \text { Probability }=\frac{{ }^5 C_2 \times 6}{5^3} & \\& =\frac{60}{125}=\frac{12}{25}\end{aligned}$