Question

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked 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 (i) product C only (ii) product A and C but not product B (iii) at least one of three products.

Answer 1

Step-by-step explanation:

Let A, B, and C be the set of people who like product A, product B, and product C respectively.

Accordingly,

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

The Venn diagram for the given problem can be drawn as above.

It can be seen that number of people who like product C only is

=29–(4+8+6)=11

solution

Answer 2

Answer:

Refers to the attachment