Number of compositions

Number of compositions

ncompositions(n, k = NULL, bigz = FALSE)

Arguments

n	an non-negative integer to be partitioned
k	number of parts
bigz	an logical to use gmp::bigz

See also

compositions for generating all compositions and icompositions for iterating compositions

Examples

# number of compositions of 10
ncompositions(10)
#> [1] 512
# number of compositions of 10 into 5 parts
ncompositions(10, 5)
#> [1] 126

# integer overflow
if (FALSE) ncompositions(160)
ncompositions(160, bigz = TRUE)
#> Big Integer ('bigz') :
#> [1] 730750818665451459101842416358141509827966271488

# zero sized compositions
ncompositions(0)
#> [1] 1
ncompositions(5, 0)
#> [1] 0
ncompositions(5, 6)
#> [1] 0
ncompositions(0, 0)
#> [1] 1
ncompositions(0, 1)
#> [1] 0