47.2k views
1 vote
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?

User Rhea
by
7.9k points

1 Answer

2 votes

Final answer:

There are 10 ways the crew can be arranged on the boat.

Step-by-step explanation:

To determine the number of ways the crew can be arranged, we need to consider the different positions for each member of the crew. There are:

  • 2 men who can only row on the bow side
  • 1 man who can only row on the stroke side
  • 5 men who can row on either side

For the 2 men who can only row on the bow side, there are 2 possible positions in the boat. For the 1 man who can only row on the stroke side, there is 1 possible position. For the remaining 5 men, there are 5 possible positions.

Therefore, the total number of ways the crew can be arranged is 2 * 1 * 5 = 10.

User Bbaytemir
by
8.0k points