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A mall has three department stores, J C Penney, Macy’s, and Sears. A survey of 1863 people exiting the mall found that 279 made a purchase at J C Penney, 240 made a purchase at Macy’s, 364 made a purchase at Sears, 76 made a purchase at J C Penney and Macy’s, 108 made a purchase at J C Penney and Sears, 95 of them made a purchase at Macy’s and Sears, and 23 of them made a purchase at all three stores.

a) How many people made a purchase at Macy’s but did not make a purchase at Sears?

b) How many people made a purchase at exactly one of the three stores?

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