Question

Given six line segments of lengths 2,3,5,6,7 units, the number of triangles that can be formed by these lines is

Answer 1

Answer:

So, we have to deduct these 4 combinations of sides from the total number of ways to select three line segments. Therefore, the total number of triangles that can be formed by six line segments of length 2, 3, 4, 5, 6, 7 units is \[^{6}{{C}_{3}}-4\] . Hence, option (D) is the correct one.