# math

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in one elementary school class the following information on sports preferences was obtained: 7 liked tennis; 11 liked baseball; 9 liked soccer; 5 liked tennis and baseball; 3 liked baseball and soccer; 2 liked tennis and soccer; and 2 liked all three sports. How many students liked either tennis or soccer?

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Hint:
Draw a Venn diagram to fill in all the numbers, starting with the last (2 liked all sports) and work backwards.
I find 17 students in all.

Not too sure how the question is supposed to be interpreted:
1. how many students liked tennis and no other sport or soccer and no other sport? (5)
2. how many students liked at least one of tennis or soccer? (13)

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14

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13

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