Question #19821

At a country club, 35 people play golf, 28 swim, and 24 play tennis. Of these people, 6 play golf and tennis only, 9 play golf and swim only, and 7 play tennis and swim only. 8 people do all three activities. How many members are there all together?

Expert's answer

Here, we have

Playing Golf--> 35

Swim ---> 28

Tennis---> 24

Golf & Tennis ---> 6

Golf & Swim ---> 9

Tennis & Swim---> 7

Golf, Tennis & Swim ---> 8

Playing only Golf=35-6-9-8=12

Playing only Tennis=24-6-8-7=3

Playing only swim =28-9-8-7=4

Therefor the total no. of members are 12+3+4=19 members


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