`combinatoricsCount.Rd`

Calculate the number of combinations/permutations of a vector chosen \(m\) at a time with or without replacement. Additionally, these functions can calculate the number of combinations/permutations of multisets.

```
comboCount(v, m = NULL, ...)
permuteCount(v, m = NULL, ...)
# S3 method for default
comboCount(v, m = NULL, repetition = FALSE, freqs = NULL, ...)
# S3 method for default
permuteCount(v, m = NULL, repetition = FALSE, freqs = NULL, ...)
# S3 method for table
comboCount(v, m = NULL, ...)
# S3 method for table
permuteCount(v, m = NULL, ...)
```

- v
Source vector. If

`v`

is a positive integer, it will be converted to the sequence`1:v`

. If`v`

is a negative integer, it will be converted to the sequence`v:-1`

. All atomic types are supported (See`is.atomic`

).- m
Number of elements to choose. If

`repetition = TRUE`

or`freqs`

is utilized,`m`

can exceed the length of`v`

. If`m = NULL`

, the length will default to`length(v)`

or`sum(freqs)`

.- ...
Further arguments passed to methods.

- repetition
Logical value indicating whether combinations/permutations should be with or without repetition. The default is

`FALSE`

.- freqs
A vector of frequencies used for producing all combinations/permutations of a multiset of

`v`

. Each element of`freqs`

represents how many times each element of the source vector,`v`

, is repeated. It is analogous to the`times`

argument in`rep`

. The default value is`NULL`

.

A numerical value representing the total number of combinations/permutations.

When the number of results exceeds \(2^{53} - 1\), a number of class `bigz`

is returned.

```
## Same interface as the respective "general" functions:
## i.e. comboGeneral & permuteGeneral
permuteCount(-5)
#> [1] 120
permuteCount(5)
#> [1] 120
comboCount(25, 12)
#> [1] 5200300
permuteCount(15, 7, TRUE)
#> [1] 170859375
comboCount(25, 12, freqs = rep(2, 25))
#> [1] 458917850
## Return object of class 'bigz'
comboCount(250, 15, freqs = rep(2, 250))
#> Big Integer ('bigz') :
#> [1] 1035444613157684247678300
```