in a group of 84 persons each plays at least one game out of three viz. tennis, badminton and cricket. 28 of them play cricket ,40 play tennis and 48 play badminton. if 6 play both cricket and badminton and 4 play tennis and badminton and no one plays all the three games. find the number of persons who play cricket but not tennis.

nABC=84nC=28  ,  nT=40  ,  nB=48nCB=6  ,  nTB=4  ,  nCTB=0We know , nABC=nC+nT+ nB-nCB- nTB-nCT+nCTB84=28+40+48-6-4-nCT+0nCT=116-10-84=22No. of person who plays cricket but not tennis =nC-nCT=28-22=6   ANS...

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