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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? Correct Answer 1045

Given:

Ten points are marked on a straight line and eleven points are marked on another straight line.

Calculations:

Number of triangles that can be constructed with vertices from among the above points.

⇒ 10C2 x 11 + 11C2 x 10

= 45 x 11 + 55 x 10

= 1045

∴ Number of triangles that can be constructed with vertices from among the above points is 1045.

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