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Question Number 11855 by tawa last updated on 02/Apr/17
Ten men are present at a club. In how many ways can four be chosen to  play bridge if two men refuse to sit at the same table.
Tenmenarepresentataclub.Inhowmanywayscanfourbechosentoplaybridgeiftwomenrefusetositatthesametable.
Answered by sandy_suhendra last updated on 03/Apr/17
let the 2 men are A and B  if A is chosen and B isn′t= 8C3  if B is chosen and A isn′t = 8C3  if A and B aren′t chosen = 8C4  the whole ways=8C3+8C3+8C4                                    =56+56+70=182
letthe2menareAandBifAischosenandBisnt=8C3ifBischosenandAisnt=8C3ifAandBarentchosen=8C4thewholeways=8C3+8C3+8C4=56+56+70=182
Commented by tawa last updated on 03/Apr/17
God bless you sir.
Godblessyousir.

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