In a survey it was found that 21 people liked product A , 26 like product B & 29 liked product C. If 14 people liked product A & B. 12 people like product C & A . 14 people liked product B & C and 8 liked all the three . Find (a ) how many like C only
(b) how many like A& B but not C
(c) How many like B or C bot not A
(d)how many like at least 2
(e) how many like exactly 1 product
Dear Student
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
Ask another question in next thread so that our expert can help you. Regards
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
Ask another question in next thread so that our expert can help you.