Question

A boat is to be manned by eight men of whom $2$ can only row on the bow side and $1$ can only row on stroke side, the number of ways in which the crew can be arranged is

• A. $4360$
• B. $5760$
• C. $5930$
• D. None of these

Answer 1

The correct option is B

$5760$

Explanation for correct option:

Given, A boat is to be manned by eight men of whom can only row on the bow side and can only row on stroke side.

$2$ men on the bow side can arrange in ${}^4\mathrm{P}_2$ways $=12$

$1$ man on the stroke side can be arranged in ${}^4\mathrm{P}_1$ways $=4$

The remaining 5 can be arranged in $5!$ ways $120$

Total number of ways $$\begin{gathered} =12\times 4\times 120 \\ =5760 \end{gathered}$$

Hence, correct option is $\mathbf{\left(}\mathit{B}\mathbf{\right)}$.