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  4. Let A= 1,2,3,4 . The number of different unordered pairs (B, C) that can be formed such that B ⊆ A, C ⊆ A and B ∩ C=φ, is

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Q. Let $A=\{1,2,3,4\}$. The number of different unordered pairs $(B, C)$ that can be formed such that $B \subseteq A, C \subseteq A$ and $B \cap C=\phi$, is

NTA AbhyasNTA Abhyas 2022

Solution:

We have,
$A=\{1,2,3,4\}$
Now, $B \subseteq A, \quad C \subseteq A$ and $B \cap C=\phi$
Number of such ordered pairs are $3^{n A}=3^4$