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Question
A guard of 12 men is formed from a group of n soldiers in all possible ways. If the number of times two particular soldiers A and B are together on guardis thrice the number of times there particular soldiers C,D,E are together on gurard, then n =
A guard of 12 men is formed from a group of n soldiers in all possible ways. If the number of times two particular soldiers A and B are together on guardis thrice the number of times there particular soldiers C,D,E are together on gurard, then n =
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Solution
The correct option is C 32
No. of ways A and B together =(n−2)c10 No. of ways C, D, E together = (n−3)c10
⇒(n−2)c10=3((n−3)cg)⇒n=32
32
No. of ways A and B together =(n−2)c10 No. of ways C, D, E together = (n−3)c10
⇒(n−2)c10=3((n−3)cg)⇒n=32
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