taiwan-gsat 2024 Q17

taiwan-gsat · Other · gsat__math-b 5 marks Permutations & Arrangements Circular Arrangement
On a circle, 12 equally spaced points are marked and numbered 1 to 12 in clockwise order. Among all triangles formed by choosing any 3 of these 12 points as vertices, the number of triangles whose three interior angles, arranged from smallest to largest, form an arithmetic sequence is (17-1)(17-2).
On a circle, 12 equally spaced points are marked and numbered 1 to 12 in clockwise order. Among all triangles formed by choosing any 3 of these 12 points as vertices, the number of triangles whose three interior angles, arranged from smallest to largest, form an arithmetic sequence is (17-1)(17-2).