Question 100
Find the number of triples of sets $(A, B, C)$ such that:
a. $A, B, C \subseteq \{1,2,3, \ldots, 8\}$.
b. $|A \cap B|=|B \cap C|=|C \cap A|=2$.
c. $|A|=|B|=|C|=4$.
Here, $|S|$ denotes the number of elements in the set $S$.
a. $A, B, C \subseteq \{1,2,3, \ldots, 8\}$.
b. $|A \cap B|=|B \cap C|=|C \cap A|=2$.
c. $|A|=|B|=|C|=4$.
Here, $|S|$ denotes the number of elements in the set $S$.