Permutations
Description
A permutation is a ordered arrangement of the set of objects given.The number of permutations can be calculated by
(1)\begin{equation} n!. \end{equation}
The Sage cell below gives back the set of all possible permutations of the numbers $1,2,3,4,5$.
Sage Cell
Code
S=Permutations([1,2,3,4,5])
print("We expect ", len(S.list() ), "items below")
S.list()
Options
Option
We can do the same process thing for non-numerical objects as well. In the Sage cell below, we see all the possible permutations of Kings, Queens, and Jacks.
Code
S=Permutations(["Kings","Queens","Jacks"])
print("We expect ", len(S.list() ), "items below")
S.list()
Tags
Primary Tags: Combinatorics
Secondary Tags: Counting: Permutations
A list of possible tags can be found at The WeBWorK Open Problem Library. For linear algebra tags see the Curated Courses Project.
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Date: 02 Oct 2018 06:48
Submitted by: James A Phillips