In an orchestra, 24 people can play stringed instruments, 18 can play brass, and 13 can play percussion. Further, 9 of the performers can play both strings and brass, whereas 8 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.) The maximum number of people is and the minimum number of people is