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 these products
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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
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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
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