How Many Ways Can an 8 Oar Boat Crew Be Selected from 11 People?

[xiphoid]

Homework Statement

A crew of an 8 oar boat has to be selected from 11 people, out of which 5 can oar only on one side, 4 can oar only on the other side and 2 can oar on either sides, find in how many ways can the selection be done?

The Attempt at a Solution

What I did here is assumed 3 possibilities
1. 7 on one side and 4 on the other---- assuming those two to be on one side
2. 6 on one side and 5 on the other---- equally dividing them on each side
3. 5 on one side and 6 on the other---- equally dividing them on each side

 

[AGNuke]

In Oaring a boat, you have to man equal strength on either side or the boat will no go straight. Here, select 4 people for right side and 4 people for left side.