The question:

In a certain school, 74% of the students like basketball, 76% liked tennis, and 82% liked soccer. The all three sports are liked by at least:

a) 68%

b) 32%

c) 77%

d) 36%

The approach:

The sum of the percentages is more than 200% (232), so obviously, the figures given include the intersections of the sets. In a worst case scenario, there would be no students who liked all three, and the intersections taken two at a time should have satisfied the requirement of the sum adding up to 100. But then we'd end up with way too many variables....

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I'm kinda lost...please help me...!