Information on Permutations ...
This page gives a brief explanation of the input and output options
available on the "Generate Permutations" page.
More extensive explanation is given on the following pages.
Permutations
A permutation of objects is an arrangement of those objects in some
order; that is, some object is placed in the first position, another in the
second position, and so on, until all objects have been placed.
For our purposes, a permutation is a string
a_{1} a_{2} ... a_{n},
where each a_{i} is an element of the set
[n] = {1,2,...,n} and each element occurs precisely
once.
For example, the permutations of [3] = {1,2,3} are
123, 132, 213, 231, 312, 321.
COS can be used to generate many restricted types of permutations.
 Required Input:
 The number of elements n is always required.
Sometimes a second parameter k is required.
 Optional Input:
 For derangements k is an optional input.
 Ignored Input:
 None.
 One line notation Oput:

 Cycle notation Output:

 Transposition Output:

 Permutation Matrix Output:

 Inverse Permutation Output:

 Standard Young Tableau Output:

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It was last updated Wednesday, 10May2006 10:32:14 PDT.
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©Frank Ruskey, 19952003.