Enumerate the Combinations or Permutations of the Elements of a Vector

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Description

combinations enumerates the possible combinations of a specified size from the elements of a vector. permutations enumerates the possible permutations.

Usage

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combinations(n, r, v=1:n, set=TRUE, repeats.allowed=FALSE)
permutations(n, r, v=1:n, set=TRUE, repeats.allowed=FALSE)

Arguments

n

Size of the source vector

r

Size of the target vectors

v

Source vector. Defaults to 1:n

set

Logical flag indicating whether duplicates should be removed from the source vector v. Defaults to TRUE.

repeats.allowed

Logical flag indicating whether the constructed vectors may include duplicated values. Defaults to FALSE.

Details

Caution: The number of combinations and permutations increases rapidly with n and r!.

To use values of n above about 45, you will need to increase R's recursion limit. See the expression argument to the options command for details on how to do this.

Value

Returns a matrix where each row contains a vector of length r.

Author(s)

Original versions by Bill Venables Bill.Venables@cmis.csiro.au. Extended to handle repeats.allowed by Gregory R. Warnes greg@warnes.net.

References

Venables, Bill. "Programmers Note", R-News, Vol 1/1, Jan. 2001. http://cran.r-project.org/doc/Rnews

See Also

choose, options

Examples

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combinations(3,2,letters[1:3])
combinations(3,2,letters[1:3],repeats=TRUE)

permutations(3,2,letters[1:3])
permutations(3,2,letters[1:3],repeats=TRUE)

# To use large 'n', you need to change the default recusion limit
options(expressions=1e5)
cmat <- combinations(300,2)
dim(cmat) # 44850 by 2 

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