Question

A survey conveys the result that 21 persons liked product soft drink,26 liked coconut water and 29
liked milk shakes. If 14 persons liked product soft drink and coconut water; 12 persons liked product soft
drink and milk shakes 14 persons liked coconut water and milk shakes and 8 liked all the three products.

Find :
a)How many of them liked atleast 2 products.
b)How many liked at most 2 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