Combinatorics: Combinatorics

In sigbertklinke/exams2moodle: Access routines to XML Moodle files and helper routines to simplify generating exercises for Moodle from the 'exams' package

Combinatorics

Description

• permutation computes the number of permutations

• variation computes the number of variations with and without replication

• combination computes the number of combinatios with and without replication

• combinatorics computes all combinatorics results for k<n and returns it as list:

  permutation.nP(n)

  permutation.kP(k)

  permutation.nkP(n; k)

  variationV(n;k)

  variation.repV^W(n;k)

  combinationK(n;k)

  combination.repK^W(n;k)

Usage

combinatorics(n, k)

variation(n, k, repl = FALSE)

combination(n, k, repl = FALSE)

permutation(n, k = rep(1, n))

lfact(n)

lfactquot(n, ...)

lbinom(n, k)

Arguments

n	numeric: total number of elements
k	numeric: number of elements to choose
repl	logical: with reptition (default: FALSE)
...	numeric: further arguments to lfactquot

Value

a list

Examples

permutation(8)
permutation(8, c(1,3,2,2))
combination(8, 4)
combination(8, 4, TRUE)
variation(8, 4)
variation(8, 4, TRUE)
combinatorics(8, 4)

sigbertklinke/exams2moodle documentation built on July 6, 2023, 3:26 p.m.