Question

Let n and k be positive integers such that n ≥ k(k + 1)/2. The number of solutions (x₁,x₂,....,x_k), x₁ ≥ 1, x₂ ≥ 2,...,x_k ≥ k all integers satisfying x₁ + x₂ + ...+x_k = n, is .....

Answer 1

The number of solutions of x₁,x₂,....,x_k = n