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Combinatorics

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Size of Complement of Union

COMBIN-1NCKXH

Suppose $A$ and $B$ are subsets of a universal set $U$. Express the size of $\overline{(A \cup B)}$ using the quantities $|U|$, $|A|$, $|B|$, $|A\cup B|$, $|A \cap B|$.

Choose ALL correct answers.

A

$|U| - |A \cup B|$

B

$|U| - |A| - |B| - |A \cap B|$

C

$|U| - |A| - |B| + |A \cap B|$

D

$|U| + |A| + |B| - |A \cap B|$