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A puzzle based on combinatorics, which is the study of counting discrete structures. Use with [mathematics]

A puzzle based on combinatorics, which is the study of counting discrete structures.

For example, how many ways to arrange $$3$$ of $$abcd$$, where order is important?

We have $$abc,abd,acd,bcd$$ and six of each (for example $$abc,acb,bac,bca,cab,cba$$), and so the answer is $$24$$.

For basic combinatoric examples and explanations, see:

Puzzles where permutations, sets, graphs, lattices and other combinatorial mathematics feature prominently should include this tag.