Question

In how many ways can one divide $12$ books into four equal bundles?

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

Answer 1

The correct option is C $\frac{12!}{4!3{!}^4}$

Total number of books$=12$

Number of equal bundles $=4$

Each bundle contains $3$ books.

Total number of divisions

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

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