A random composition of a number 
in 
parts is one of the 
possible compositions
of 
,
where 
is a binomial coefficient. A random composition
can be given by RandomComposition[n,
k] in the Wolfram Language
package Combinatorica` .
Random Composition
See also
CompositionExplore with Wolfram|Alpha
References
Nijenhuis, A. and Wilf, H. Combinatorial Algorithms for Computers and Calculators, 2nd ed. New York: Academic Press, 1978.Skiena, S. "Random Partitions." §2.1.5 in Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, pp. 58-59, 1990.Referenced on Wolfram|Alpha
Random CompositionCite this as:
Weisstein, Eric W. "Random Composition." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RandomComposition.html