Question

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In a survey it was found that 21 people liked product A , 26 like product B and 29 liked product C . If 14 people liked products A and B , 12 people liked products C and A , 14 people liked products B and C and liked all the three products. Find how many liked product C only.

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Answer 1

n(A) = 21

n(B) = 26

n(C) = 29

n(A ∩ B) = 14

n(C ∩ A) = 12

n(B ∩ C) = 14

n(A ∩ B ∩ C) = 8

➡Number of People who liked product C only = n(C) - n(C ∩ A) - n(B ∩ C) + n(A ∩ B ∩ C)

➡29 - 12 – 14 + 8

➡ 11