Question

An 8 oared boat is to be manned by 8 men of whom 2 can row on bow side and one can row on stroke side. The number of ways in which the crew can be arranged

Answer 1

1. Taking 4 Men per Side
Bow Side: __ __ __ __
Row Side: __ __ __ __
2. Selection Process
3. Selecting 3 (2 on bow side and 1 on stroke side) - 1 way each
Bow Side: X X __ __
Row Side: X __ __ __
4. 5 left. Filling the 2 people from the bow side - C(5,2) [Remaining to the stoke side]
5. Arrange the Bow side in 4! ways and the Row side in 4! ways

Hence:
C(5,2)*4!*4! = 10*24*24 = 10*576 = 5760.