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perms

All possible permutations

Syntax

Description

example

P = perms(v) returns a matrix containing all permutations of the elements of vector v in reverse lexicographic order. Each row of P contains a different permutation of the n elements in v. Matrix P has the same data type as v, and it has n! rows and n columns.

Examples

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All Permutations of Double Integers

v = [2 4 6];
P = perms(v)
P =

     6     4     2
     6     2     4
     4     6     2
     4     2     6
     2     6     4
     2     4     6

All Permutations of Unsigned Integers

v = uint16([1023 4095 65535]);
P = perms(v)
P =

  65535   4095   1023
  65535   1023   4095
   4095  65535   1023
   4095   1023  65535
   1023  65535   4095
   1023   4095  65535

All Permutations of Complex Numbers

v = [1+1i 2+1i 3+1i];
P = perms(v)
P =

   3.0000 + 1.0000i   2.0000 + 1.0000i   1.0000 + 1.0000i
   3.0000 + 1.0000i   1.0000 + 1.0000i   2.0000 + 1.0000i
   2.0000 + 1.0000i   3.0000 + 1.0000i   1.0000 + 1.0000i
   2.0000 + 1.0000i   1.0000 + 1.0000i   3.0000 + 1.0000i
   1.0000 + 1.0000i   3.0000 + 1.0000i   2.0000 + 1.0000i
   1.0000 + 1.0000i   2.0000 + 1.0000i   3.0000 + 1.0000i

Input Arguments

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v — Set of itemsvector of numeric, logical, or char values

Set of items, specified as a vector of numeric, logical, or char values.

Example: [1 2 3 4]

Example: [1+1i 2+1i 3+1i 4+1i]

Example: int16([1 2 3 4])

Example: ['abcd']

Example: [true false true false]

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical | char
Complex Number Support: Yes

Limitations

perms(v) is practical when length(v) is less than about 10.

See Also

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Introduced before R2006a

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