NumberOfCompositions[n, k] counts the number of distinct compositions of integer n into k parts.

NumberOfPartitions[n] counts the number of integer partitions of n.

NumberOfPermutationsByCycles[n, m] gives the number of permutations of length n with exactly m cycles.

NumberOfPermutationsByTypes[l] gives the number of permutations of type l.

NumberOfSpanningTrees[g] gives the number of labeled spanning trees of graph g.

RankSubset[l, s] gives the rank, in canonical order, of subset s of set l.

V[g] gives the order or number of vertices of the graph g.

AbsIJK[q] gives the absolute value of the pure quaternion part of q.

AdjustedSignIJK[q] gives the sign of the pure quaternion part of q, adjusted so its first nonzero component is positive.

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