Another Combinatorics Problem

Probability Level 4

Let n1<n2<n3<n4<n5n_1 <n_2<n_3<n_4 < n_5 be positive integers such that their sum is 20. Find the number of distinct ordered solutions for (n1,n2,n3,n4,n5)(n_1,n_2,n_3,n_4,n_5) .

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