Permutation meaning and example

  • #1
what is the permutation?
and like what example?
anyone knows?
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,833
956
Do you mean "what is a permutation"? A permutation of a given list is simply a rearrangement of the list. For example, if the original list is "abc" then permutations are "acb", "bac", "bca", "cab", "cba", and, for completeness, we include the orignal list, "abc" as a permutation.
 
  • #3
i see,
so its just rearrange the list into random right?
 
  • #4
I like Serena
Homework Helper
6,577
176
Formally, a permutation is a 1-1 map of a set onto itself.
 
  • #5
phinds
Science Advisor
Insights Author
Gold Member
2019 Award
16,343
6,541
i see,
so its just rearrange the list into random right?
No, it is NOT random. It is a set of all possible arrangements.

For combinations, on the other hand, order does not matter, so the combinations of abc are abc OR bca OR cab, etc --- but they are all counted as the same thing.
 
  • #6
we can define permutation as-
1.NUMBER OF ORDERED SELECTION OF "K" OBJECTS OUT OF "N" DISTINCT OBJECTS WITHOUT REPETITION.OR.;
2.ORDERED SAMPLING OF K OBJECTS OUT OF N DISTINCT OBJECTS WITHOUT REPLACEMENT.OR
3.NUMBER OF PERMUTATION(ORDERED SAMPLING)OF K OBJECTS OUT OF N DISTINCT OBJECTS WITHOUT REPETATION...
 

Related Threads on Permutation meaning and example

  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
4
Views
2K
Replies
2
Views
7K
Replies
1
Views
1K
Replies
3
Views
2K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
16
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
3K
Top