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Let $S=\{1,2,3,4\}$. The total number of unordered pairs of disjoint subsets of $S$ is equal to
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Verified Answer
The correct answer is:
41
41
Let $A \cap B=\phi, A, B \subset S$
$$
\begin{aligned}
& 3^4=\frac{81+1}{2}=41 \\
\Rightarrow \quad & \frac{3^4+1}{2}=41
\end{aligned}
$$
$$
\begin{aligned}
& 3^4=\frac{81+1}{2}=41 \\
\Rightarrow \quad & \frac{3^4+1}{2}=41
\end{aligned}
$$
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