Permutation & Combination · Question 24 · Medium
Permutation & Combination question 24
There are 10 points in a plane, of which exactly 4 lie on one straight line; no other three of the points are collinear. How many triangles can be formed with these points as vertices?
- 120
- 112
- 116
- 104
Answer and explanation
Answer: C. 116
Explanation: Any 3 of the 10 points give 10C3 = 120 triples, but the 4C3 = 4 triples taken from the collinear points do not form triangles: 120 − 4 = 116.
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