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

AI Thread Summary
To select an 8 oar boat crew from 11 people, with specific restrictions on which side individuals can row, the problem involves calculating combinations based on the distribution of rowers. There are 5 rowers who can only row on one side, 4 on the other, and 2 who can row on either side. The key is to ensure an equal number of rowers on both sides for balance. The discussion explores various configurations for selecting 4 rowers for each side while considering the limitations of the crew members. Ultimately, the solution requires careful calculation of combinations to meet the criteria for a balanced crew.
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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
 
Physics news on Phys.org
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.
 
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