Permutations
Algebra of Permutations
compute properties of a permutation
permutation (1 3 5)(2 4)(6 7 8)
do algebra with permutations
perm (1 2 3 4)^3(1 2 3)^-1
compute properties of a permutation
signature of permutation (1 2 3 4 5)(6 7 8 9)
matrix of the permutation (3 1 2 5)
factoradic form of the permutation (3 1 2 5 4)
index of (1 4 5)(2 3 6 7)
order of permutation (2 1 3 4)^-1
lexicographic rank of (1 2 6)^2
Random Permutations
generate a random permutation
random permutation on 15 elements
Permutations of a Set
compute permutations of a set
permutations of {a, b, c, d}
compute distinct permutations of a list
distinct permutations of {1, 2, 2, 3, 3, 3}
Counting Permutations
count permutations
number of permutations of 23 elements
specify a permutation size
number of 6-permutations of 15 objects
count derangements