The number of triples of sets (A,B,C) with\(A, B, C ⊂eq \ 1, 2, , n\ \) Such that \((A ∩ B) ⊂eq C ⊂eq (A ∪ B)\)

The number of triples of sets (A,B,C)... - Solved

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The number of triples of sets (A,B,C) with\(A, B, C \subseteq \{1, 2, \dots, n\}\) Such that \((A \cap B) \subseteq C \subseteq (A \cup B)\)

(A) \( 5^n \)

(B) \( 6^n \)

(C) \( 7^n \)

(D) \( 8^n \)

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Correct Solution: Option B

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