Question

The number of ways in which $3$ friends can stay in $2$ hotels is

• A. $2^3$
• B. $3^2$
• C. ${}^{3}P_2$
• D. None of these

Answer 1

The correct option is A

$2^3$

Explanation for the correct option:

Find the required number of permutations.

We have to arrange $3$ friends in $2$ hotels.

Since all the $3$ friends have $2$ choices for hotel.

So, the total number of ways is $2·2·2=2^3$.

Therefore, The number of ways in which $3$ friends can stay in $2$ hotels is $2^3$.

Hence, option $A$ is the correct answer.