How many pairs of singletons could you draw from the power set? <single, single>

How many pairs of any one pair and the triple which is disjoint to it could you draw? <pair, triple>

How many distinct pairs of one pair and one of the 3 pairs disjoint to it could you draw? <pair, pair>

How many pairs of any one pair and one of the 3 singletons disjoint to it could you draw? <pair, single>

How many pairs of any triple and one of the 2 singletons disjoint to it? <triple, single>

How many pairs of any quadruple and the singleton disjoint to it? <quadruple, single>