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(B) Let $A, B,$ and $C$ be the sets of people who like product $A$,product $B$,and product $C$ respectively.Given:$n(A) = 21, n(B) = 26, n(C) = 29$$n(

Vedclass · Accepted Answer

$11$

Vedclass · Answer

(B) Let $A, B,$ and $C$ be the sets of people who like product $A$,product $B$,and product $C$ respectively.Given:$n(A) = 21, n(B) = 26, n(C) = 29$$n(A \cap B) = 14, n(C \cap A) = 12, n(B \cap C) = 14$$n(A \cap B \cap C) = 8$To find the number of people who like product $C$ only,we use the formula:$n(C 	ext{ only}) = n(C) - [n(A \cap C) + n(B \cap C) - n(A \cap B \cap C)]$$n(C 	ext{ only}) = 29 - [12 + 14 - 8]$$n(C 	ext{ only}) = 29 - [26 - 8]$$n(C 	ext{ only}) = 29 - 18 = 11$Thus,$11$ people liked product $C$ only.

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