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Let $[P(S), \supseteq]$ be a partial order relation defined on $P(S),$ where $S = \{1,2,3,4\}. P(S)$ is the set of all subsets of $S.$ Which of the following is the join of $\{1,2\}, \{3,4\}?$

1. $\{3,4\}$
2. $\{1,2,3,4\}$
3. $\varnothing$
4. $\{1,2\}$

Let $S$ be a set, then $[P(S),$ superset$]$ is a boolean lattice, in which $LUB$ is the same as Intersection, and $GLB$ is the same as union.

Let $S$ be a set, then $[P(S),$ subset$]$ is a boolean lattice, in which $LUB$ is the same as union, and $GLB$ is the same as intersection.

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So is the final answer option c??

1
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