NEST2023MathematicsPermutation and Combination
Let n 3 be an integer. Let P₁, P₂, , P_ 2 n be points in the plane, which are the vertices of a regular 2 n -gon. The number of obtuse-angled triangles with vertices contained in the set P₁, P₂, , P_ 2 n is
Options
- An(n-1)(n-2)
- Bn^2(n-1)(n-2) 3
- Cn(n-1)^2 2
- D2 n(2 n-1)(2 n-2)
Correct answer
A. n(n-1)(n-2)
Step-by-step solution
No solution available.