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Step-by-step explanation:
let
the players of tennis , tennikoit and badminton are represented by T , TK , B .
Total no. of members in the club = 290
Those who did not play any of the three games = 75
:. n ( T U TK U B ) = 290 - 75 = 215
n ( T U TK U B ) = n ( T ) + n ( TK ) + n ( B ) - n ( Y Û TK ) - n ( TK Û B ) - n ( T Û B ) + n ( T Û TK Û B )
215 = 120 + 110 + 130 - 170 - 55 - 60 + n ( T Û TK Û B )
=> 215 = 360 - 185 + n ( T Û TK Û B )
=> 215 = 175 + n ( T Û TK Û B )
=> 215 - 175 = n ( T Û TK Û B )
=> 40 = n ( T Û TK Û B )
:. No. of persons who played all the three games = 40
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