Ononot — Let S = \{1, 2, 3\}. We define a 2 \times 2 matrix M = \begi

Guest Session: 1 Question Remaining. Create Account to save progress.

Set Theoryhard

0:00.0

Let $S = \{1, 2, 3\}$ . We define a $2 \times 2$ matrix $M = \begin{pmatrix} |A \cap B| & |A \setminus B| \\ |B \setminus A| & |A \cup B| \end{pmatrix}$ where $A$ and $B$ are subsets of $S$ . How many different matrices $M$ can be formed as $A$ and $B$ vary over all possible subsets of $S$ ?