madhan_dc wrote:The problem states 3 ppl work on both committees. Can it not be 2 ppl from team A and 1 person from team B?
why does it have to be 3 from A and 3 from B?
If a person works on both committees, he can't come from one committee and not from the other; by definition, that person comes from
both committees.
If 2 people from A work on both committees, then those 2 people from A also work on B. So those 2 people come both from A and from B, because they work on both committees.
If 1 person from B works on both committees, then that 1 person from B also works on A. So that 1 person comes from both B and from A, because he works on both committees.
So the result is the same: in total 2+1 = 3 people work on both committees.
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