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.
Answers
Find the number of people who prefer all 3 of the products only:
Total number of people who prefer all 3 = 8 (Given)
Find the number of people who prefer Product A and C only:
People who likes Product A and C = 12 (Given)
People who likes Product A and B and C = 8 (Given)
People who likes Product A and C only = 12 - 8 = 4
Find the number of people who prefer Product B and C only:
People who likes Product B and C = 14 (Given)
People who likes Product A and B and C = 8 (Given)
People who likes Product B and C only = 14 - 8 = 6
Find the number of people who prefer the product C only:
People who likes Product C = C = 29 (Given)
People who likes Product A and C only = 4 (found)
People who likes Product B and C only = 6 (found)
People who likes Product A and B and C = 8 (Given)
People who prefer C only = 29 - 4 - 6 - 8 = 11
Answer: 11 people like product C only
*The working here only shows what is needed to get to the answer. The diagram shows the complete answer.
