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JEE MAIN 2022
25-07-2022_S2
Question
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 $\mathrm{B} \cup \mathrm{C}$ is $\_\_\_\_$ .
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JEE Main
Mathematics
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