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Can you solve this logic Venn diagram question?
Here's the diagram: there are three circles labelled "A", "B", and "C". "A" overlaps with "B" and "C", "B" overlaps with "A" and "C", but "C" doesn't overlap with anything. The question is: if the total number of items within the three sets is 75, what is the maximum number of items that could be in the set labelled "A"?
Let me think about that for a moment. If the total number of items in the three sets is 75, and "C" has nothing in it, that means the total number of items in sets "A" and "B" must add up to 75. However, some items are counted twice, since they are in both "A" and "B". Therefore, the maximum number of items in "A" would be if every item was in "A", and no items were in both "A" and "B". That means "A" would have 37.5 items, which isn't possible since it has to be a whole number. Therefore, the maximum number of items in "A" would be 37.