# In a group of 84 persons each plays at least one game out of three viz tennis, badminton and cricket. 28 of them play C, 40 plays T and 48 play B. If 6 play both C and B and 4 play T and B and no one plays all the three games. Find the no: of persons who play cricket but not tennis using venn diagram

$LetthenumberofpeoplewhoplayCandTbex\phantom{\rule{0ex}{0ex}}Sumofnumberofelementsinallcolouredregionsmustbeequalto84\phantom{\rule{0ex}{0ex}}22-x+6+38+4+36-x+x=84\phantom{\rule{0ex}{0ex}}106-x=84\phantom{\rule{0ex}{0ex}}x=106-84\phantom{\rule{0ex}{0ex}}x=22\phantom{\rule{0ex}{0ex}}$

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