MathNet 2022 — batch of 23 questions Question 7

Sets $A$, $B$, and $C$ satisfy $|A| = 92$, $|B| = 35$, $|C| = 63$, $|A \cap B| = 16$, $|A \cap C| = 51$, $|B \cap C| = 19$. Compute the number of possible values of $|A \cap B \cap C|$.