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⟩ Oshkosh did a study of the colors used in African national flags. He found that 38 flags have red, 20 have blue, 13 have both red and blue, and 8 have neither red nor blue. How many flagsa. have red but not blue?b. have blue but not red?c. were included in the study?

n(r)=38

n(b)=20

n(r & b) = 13

n(r+b) = n(r)+n(b)-n(r&b)

= 38+20-13

= 45 (flags with either red or blue)

total flags(study) = 45 + 8(neither red nor blue) = 53

red not blue = 38-13 = 25

blue not red = 20-13 = 7

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