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A boat is to be manned by eight men, of ...

A boat is to be manned by eight men, of whom 2 can only row on bow side and 1 can only row on stroke side; in how many ways can the crew be arranged?

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We know 2 men on the bow side can be choosen and arranged in `4_(P_2)​=12` ways
1 man on the stroke side can be choosen and arranged in `4_(P_1)​=4 `ways
Remaining 5 men can be arranged in 5! ways
so, Number of arrangements of the crew =`12xx4xx5!`
=`5760` ways
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