List of top Mathematics Questions on sets asked in MET

Let \(A = \{1,2,3,4,5,6,7\}\) and \(B = \{3,6,7,9\}\). Then, the number of elements in the set \(\{ C \subseteq A : C \cap B \neq \phi \}\) is:

If $A$ and $B$ are two sets such that $n(A) = 17, n(B) = 23$ and $n(A \cup B) = 38$, then $n(A \cap B)$ is:

The number of subsets of a set containing $n$ elements is: