Combinatorial structures and objects could be nice bases for a deck of playing cards. The cards relate to one another by their combinatorial interpretation. The card face illustrates the combinatorial structure.
Bell numbers: 52 partitions of a set of 5.
Catalan numbers: 42 non-crossing partitions of 5.
Partition function (number theory), Young diagram, Young's lattice, Young tableau, p(11) = 56.
Central binomial coefficient: binomial(8,4)=70.
Fibonacci sequence: F(10) = 55, though not sure how to illustrate this one.
2 of each card (2 suits) might be better.
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