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Sets And Relations

JEE Main 2022 (Online) 25th July Evening Shift

INTEGER+4 / -12022

Let \(A=\{1,2,3,4,5,6,7\}\). Define \(B=\{T \subseteq A\) : either \(1 \notin T\) or \(2 \in T\}\) and \(C=\{T \subseteq A: T\) the sum of all the elements of \(T\) is a prime number \(\}\). Then the number of elements in the set \(B \cup C\) is ________________.

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