Mathematics, 17.02.2021 06:00, vinp190p9zekn

In an orchestra, 22 people can play stringed instruments, 17 can play brass,15 and can play percussion. Further, 8 of the performers can play both strings and brass, whereas 7 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 the orchestra? (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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In an orchestra, 22 people can play stringed instruments, 17 can play brass,15 and can play percu...