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In an orchestra 21 people can play stringed instruments 17 can play brass and 14...

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Basic Math

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In an orchestra 21 people can play stringed instruments 17 can play brass and 14 can play percussion Further 8 of the performers can play both strings and brass whereas 5 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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