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In an orchestra, 25 people can play stringed instruments, 21 can play brass, and 12...

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Basic Math

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In an orchestra, 25 people can play stringed instruments, 21 can play brass, and 12 can play percussion. Further, 9 of the performers can play both strings and brass,whereas 4 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in theorchestra? (Hint: Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)

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