Question:
Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?
Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?
Updated On: Oct 4, 2024
- 495
- 550
- 1045
- 2475
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The Correct Option is C
Solution and Explanation
A triangle can be formed by taking any two points of a straight line and third point on the second straight line
\(\rightarrow \)Number of ways =\((C\frac{10}{2}\times 11)+(C\frac{11}{2}\times 10)\)
\(\rightarrow 495+550=1045\)
The correct answer is (C) : 1045
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