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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 altogether?
Why can't we use the formula AUBUC=A B C-A intersection B-B intersection C-C intersection A A intersection B intersection C? using that method I got different answer
Answers (1)
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Sol.
Here,we have
Playing Golf---> 35
Swim ------->28
Tennis------>24
Golf&Tennis ---->6
Golf & Swim ----> 9
Tennis & Swim---->7
Golf, Tennis & Swim ----> 8
With the help of above formula, we can draw
Tennis = 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
You will definitely get the answer by this formula try it again.