Question

In how many ways can one divide twelve books equally among four boys?

• A. $\frac{12!}{4!}$
• B. $\frac{12!}{3{!}^4}$
• C. $\frac{12!}{4!3{!}^4}$
• D. none of these

Answer 1

Answer: (B)

$\frac{12!}{3{!}^4}$

Total number of books$=12$

Number of students $=4$

So, for equal distribution

$\Rightarrow \frac{12!}{{(3!)}^4}$

Hence the correct answer is $\frac{12!}{{(3!)}^4}$