Permutation meaning and example

by loserone+_+
Tags: math, mathematic, mathematics, permutation
 P: 2 what is the permutation? and like what example? anyone knows?
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,544 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.
 P: 2 i see, so its just rearrange the list into random right?
 HW Helper P: 6,187 Permutation meaning and example Formally, a permutation is a 1-1 map of a set onto itself.
PF Gold
P: 6,326
 Quote by loserone+_+ 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.
 P: 1 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...

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