Question:
The number of triangles formed by the 11 points, out of which 5 are collinear in a plane is
The number of triangles formed by the 11 points, out of which 5 are collinear in a plane is
Updated On: Oct 10, 2024
- 165
- 155
- 150
- None of theses
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The Correct Option is C
Solution and Explanation
Number of triangles formed by 11 points \(=\) 11C3
\(=\frac{11!}{3!\times8}=165\)
Number of triangles formed by 5 points (which are colinear) \(=\) 5C3
\(=\frac{5!}{3!\times2!}=10\)
Number of triangles \(=165-10=155\)
The correct option is (C)
\(=\frac{11!}{3!\times8}=165\)
Number of triangles formed by 5 points (which are colinear) \(=\) 5C3
\(=\frac{5!}{3!\times2!}=10\)
Number of triangles \(=165-10=155\)
The correct option is (C)
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