Question

Four writers must write a book containing $17$ chapters. The first and third writer must write $5$ chapters each, the second writer must write $4$ chapters and fourth writer must write three chapters. The number of ways that can be found to divide the book between four writers, is

• A. $\frac{17!}{\left(5!\right)^{2} 4! 3! 2!}$
• B. $\frac{17!}{5! 4! 3! 2!}$
• C. $\frac{17!}{\left(5!\right)^{2} 4! 3! }$
• D. $\frac{17!}{\left(5! \right)^{2}\times4 \times 3}$

Answer 1

Answer: (C)

$\frac{17!}{\left(5!\right)^{2} 4! 3! }$

Answer 2

Evidently $(c)$ is correct option because we have to divide $17$ into four groups each distinguishable into groups of $5$, $5$, $4$ and $3$