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  2. In a survey it was found that 21 people liked product A, 26 liked 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 8 liked all the three products.

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NCERT

In a survey it was found that 21 people liked product A, 26 liked 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 8 liked all the three products.

Q. 16 In a survey it was found that 21 people liked product A, 26 liked 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 8 liked all the three products. Find how many liked product C only.

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D Divya Prakash Singh

n(A) = 21                                                                                                      

n(B) = 26                                                                            

n(C) = 29 

n( A \cap B) = 14

n( A \cap C) = 12

n (B \cap C ) = 14

n( A \cap B \cap C) = 8

      n(liked product C only) = 29 - 4 -8 - 6 = 11

11 people like only product C.

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