Calculating a determinant involves summing products of matrix elements over all possible ones of these.
A Hamiltonian path in the polyhedron representing these entities can be found using the Steinhaus-Johnson-Trotter algorithm. The Fisher-Yates method is used for sampling a random one of these. The pure Braid group is the kernel of the homomorphism of the Braid group to the group of these things. Calculating a determinant involves summing products of matrix elements over all possible ones of these. Cayley's theorem states that a group G is isomorphic to a subgroup of the symmetric group acting on G, which is itself a set of these. The sign of the Levi-Civita symbol determines whether these things are odd or even, and they can be decomposed into transpositions. For a set of size n, there exist n factorial of, for 10 points, what rearrangements of a set for which order matters?
A Hamiltonian path in the polyhedron representing these entities can be found using the Steinhaus-Johnson-Trotter algorithm.
permutations [prompt on "orderings"]