A Chandigarh club has 50 members; 34 of them swim and 29 play tennis. With the two groups pushed to opposite ends as in the bars, what is the least possible number who do both?

Question

Accepted Answer

13. The two groups need 34 + 29 = 63 places but only 50 members exist, so at least 63 - 50 = 13 members must be in both. 29 is the largest possible overlap, 16 is 50 - 34, and 63 is just the sum.

A Chandigarh club has 50 members; 34 of them swim and 29 play tennis. With the two groups pushed to opposite ends as in the bars, what is the least possible number who do both?

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