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In a survey it was found that 21 people ...

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 C and A. 14 people liked products B and C And 8 liked all the three products, find how many liked products C only.

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Let E= Set of persons like product A
F= Set of persons like product B
G =Set of persons like Product C According to the question
`a+b+d+e=21`
`c+b+f+e+=26`
`g+f+d+e=29`
`b+e=14`
`f+e=14`
`d+e=12`
`e=8`
impliese=8
d=4
f=6
b=6
g=11
c=6
a=3
Number persons like product C only O =g=11
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