Let [unparseable or potentially dangerous latex formula] be the number of ordered pairs of nonempty sets [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] that have the following properties:
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
The number of elements of [unparseable or potentially dangerous latex formula] is not an element of [unparseable or potentially dangerous latex formula]
The number of elements of [unparseable or potentially dangerous latex formula] is not an element of [unparseable or potentially dangerous latex formula]
Find [unparseable or potentially dangerous latex formula].