Definition:Composition (Combinatorics)

Definition
A $$k$$-composition of a (strictly) positive integer $$n \in \Z: n > 0$$ is an ordered $k$-tuple:
 * $$c = \left({c_1, c_2, \ldots, c_k}\right)$$

such that:
 * $$c_1 + c_2 + \cdots + c_k = n$$
 * $$\forall i \in \left[{1 \, . \, . \, k}\right]: c_i \in \Z, c_i > 0$$, that is, all the $$c_i$$ are strictly positive integers.