# size

##### Gets or sets the size of a permutation

The ‘size’ of a permutation is the cardinality of the set for which it is a bijection.

- Keywords
- symbmath

##### Usage

```
size(x)
addcols(M,n)
# S3 method for word
size(x)
# S3 method for cycle
size(x)
# S3 method for word
size(x) <- value
# S3 method for cycle
size(x) <- value
```

##### Arguments

- x
A permutation object

- M
A matrix that may be coerced to a word

- n,value
the size to set to, an integer

##### Details

For a `word`

object, the size is equal to the number of columns.
For a `cycle`

object, it is equal to the largest element of any
cycle.

Function `addcols()`

is a low-level function that operates on, and
returns, a matrix. It just adds columns to the right of `M`

, with
values equal to their column numbers, thus corresponding to fixed
elements. The resulting matrix has `n`

columns. This function
cannot remove columns, so if `n<ncol(M)`

an error is returned.

Setting functions cannot decrease the size of a permutation; use
`trim()`

for this.

It is meaningless to change the size of a `cycle`

object. Trying
to do so will result in an error. But you can coerce cycle objects to
`word`

form, and change the size of that.

##### See Also

##### Examples

```
# NOT RUN {
x <- rperm(10,8)
size(x)
size(x) <- 15
size(as.cycle(1:5) + as.cycle(100:101))
size(id)
# }
```

*Documentation reproduced from package permutations, version 1.0-5, License: GPL-2*