Let \(A = \{ 0,1 \} \times \{ 0,1 \} \times \{ 0,1 \} \)? How many elements does \(A\) have? Write them out.
If \(\Omega = \{ 1, \ldots, n \}\), how many elements does the set of all subsets of \(\Omega\) have? We usually call this set the power set of \(\Omega\), abbreviated as \(2^{\Omega}\) (do you see the reason for this notation?).