Let A={1,2,3,4,5,6,7}. Define B={T ⊆ A: either 1 ∉ T or 2 ∈ T} and C={T ⊆ A: T the sum of all the elements of T is a prime number }. Then the number…

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