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If you have two sets, S and T, where the cardinality of S is x (ie S has x distinct elements) and the cardinality of T is y, then the number of combinations from S and T is 2(x+y).
There will be
1 null combination,
2x - 1 combinations of elements of S,
2y - 1 combinations of elements of T,
and the rest will contain at least one element from each of the two sets.
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