COMEDK · Maths · 4. Permutation Combination
The number of triangles in a complete graph with 10 non-collinear vertices is
- A 360
- B 240
- C 120
- D 60
Answer & Solution
Correct Answer
(C) 120
Step-by-step Solution
Detailed explanation
Consider that there are \(m\) collinear points out of total \(n\) points in a plane. To construct a triangle we require 3 non-collinear points. Hence, the number of triangles will be \({ }^{n} C_{3}-{ }^{m} C_{3}\). Since, all the point in the above question are non-collinear,…
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