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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 the three products. Find how many liked product $C$ only.
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$n(A \cap B)=14, n(A \cap C)=12$,
$n(B \cap C)=14$ and $n(A \cap B \cap C)=8$
$n(C$ only $)=29-4-8-6=29-18=11$
$n(B \cap C)=14$ and $n(A \cap B \cap C)=8$
$n(C$ only $)=29-4-8-6=29-18=11$
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