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The crew of an 8 oar boat is to be chosen from 12 Men, of whom 3 can row on stroke side only. If selected, the number of ways to arrange the crew is ??

The crew of an 8 oar boat is to be chosen from 12 Men, of whom 3 can row on stroke side only. If selected, the number of ways to arrange the crew is ??

Grade:12

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
We are to choose 4 persons for each side. As 3 persons lan row only on the stroke side, therefore, number of ways in which we can choose 4 persons for the non stroke side = 
9C4
Having done this we are left with 8 persons, so we can choose 4 persons for the stroke side in 8C4 ways.
 
Hence
Required number of arrangements = 9C4 * 8C4 * 4! * 4!
 
 
Regards
Arun (askIITians forum expert)    

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