Programming Concepts And Algorithms: Number Of Possible Triangles In An Array

We have "n" sticks with us. The length of each stick is known to us. We need to find the number the triangles that can possibly be made from these sticks. The condition for making a triangle is that the sum of The brute-force method dictates that we take every combination of 3 elements in the array and check if the triangle-conditions 1), 2), 3) hold.
Programming Concepts And Algorithms: Number Of Possible Triangles In An Array