Permutation diagrams

_____________________________________
Back to Robert's Math Figures
_____________________________________
A permutation of a set is a rearrangement of all its elements. (There are many special classes of permutations, such as derangements, which are permutations that leave no element in its original position.) Here are some diagrams that represent the n! possible permutations of a set with n elements.

3 elements, 6 permutations:
123, 132, 213, 231, 312, 321

4 elements, 24 permutations:
1234, 1243, 1324, 1342, ..., 4312, 4321

5 elements, 120 permutations:
12345, 12354, 12435, 12453, ..., 54321

6 elements, 720 permutations:
123456, 123465, 123546, ..., 654321

Designed and rendered on a Sunday using Mathematica 3.0 for the Apple Macintosh.

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.

Copyright © 1996/7 Robert M. Dickau