SOLUTION: An eight-oared boat is to be manned by a crew chosen from 11 men of whom 3 can steer but cannot row and the rest cannot steer.In how many ways can the crew be arranged if two of

Algebra.Com
Question 1136548: An eight-oared boat is to be manned by a crew chosen from 11 men of whom 3 can
steer but cannot row and the rest cannot steer.In how many ways can the crew be
arranged if two of the men can only row on bow side?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
An eight-oared boat is to be manned by a crew chosen from 11 men of whom 3 can
steer but cannot row and the rest cannot steer.In how many ways can the crew
be arranged if two of the men can only row on bow side?
The 11 crew-men consist of 3 steerers, 6 either-side-rowers, and 2 only-bow-side
rowers.

Since we must choose AND POSITION the men in a certain ORDER in the boat, we
must use PERMUTATIONS, for the ORDER they sit in MATTERS.

We can choose and position the steerer in 3P1 ways.
We can choose and position the 4 port-side rowers from the 6 either-side-
rowers in 6P4 ways.
We can position the 4 bow-side rowers from the remaining 6 rowers in 6P4 ways.

Answer: (3P1)(6P4)(6P4) = (3)(360)(360)  = 388800 ways.

Edwin
RELATED QUESTIONS

An eight-oared boat is to be manned by a crew chosen from 11 men of whom 3 can steer but... (answered by Theo)
A boat is to b manned by 8 men,of whom,one cannot row on the bow side and two cannot row... (answered by Edwin McCravy)
A boat has 8 crew members,3 of whom can row only on one side and 2 only on the other... (answered by Edwin McCravy)
How many ways can the digits 1, 2, 3, 4, and 5 be arranged in a row of 3 to form an odd... (answered by Edwin McCravy)
The crew of an 8 member rowing team is to be chosen from 12 men , of which 3 can on one... (answered by Edwin McCravy)
A committee of four children is chosen from eight children. The two oldest children... (answered by ewatrrr)
I have to define the Law of Large Numbers in an assignment and I need to be able to cite (answered by stanbon)
A business is owned by 3 men and 1 women, each of whom has an equal share . If one of the (answered by Theo,checkley77)
a crew of eight can row 20 kilometers per hour in still water. The crew rows upstream... (answered by ankor@dixie-net.com)