Monday is a day of the week.

Saturday is a day of the week.

Sunday is a day of the week.

Thursday is a day of the week.

Tuesday is a day of the week.

Wednesday is a day of the week.

AlternatingGroupIndex[n, x] gives the cycle index of the alternating group of size n permutations as a polynomial in the symbols x[1], x[2], ..., x[n]}.

Compositions[n, k] gives a list of all compositions of integer n into k parts.

CyclicGroupIndex[n, x] returns the cycle index of the cyclic group on n symbols, expressed as a polynomial in x[1], x[2], ..., x[n].

DihedralGroupIndex[n, x] returns the cycle index of the dihedral group on n symbols, expressed as a polynomial in x[1], x[2], ..., x[n].