SOLUTION: in a school of 50 students were asked to select the choice of their favorite of sports they like 22 like football, 21 like boxing, 25 like table tennis, 7 like football and boxing

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Question 1136067: in a school of 50 students were asked to select the choice of their favorite of sports they like 22 like football, 21 like boxing, 25 like table tennis, 7 like football and boxing , 6 like football and table tennis , 1 stundent like none of the sports ,
(i)find the number of the studnets who like all the three sports
(ii)find number of student who like two sports.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

I think that your post (the problem condition in the post) is INCORRECT, since it is INCOMPLETE.

To be complete, it should provide all THREE in-pair intersection quantities.


It could be a nice problem, and had it be posted correctly, I would give you a brilliant solution.


But for a defective problem, I can not provide a solution.