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In a survey it was found that 21 people...

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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To solve the problem step by step, we will use the principle of inclusion-exclusion and a Venn diagram to visualize the relationships between the sets. ### Step-by-Step Solution: 1. **Define the Sets:** Let: - \( A \) = Set of people who like product A - \( B \) = Set of people who like product B ...
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