1. 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?
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By: anil on 05 May 2019 02.31 am
For a triangle to be formed, we need three points. Case 1: Select 2 points on the line that has 10 points and 1 point on the line that ha 11 points. This can be done in $$^{10}C_2$$*$$^{11}C_1$$ ways = 495 ways. Case 2: Select 2 points on the line that has 11 points and 1 point on the line that ha 10 points. This can be done in $$^{11}C_2$$*$$^{10}C_1$$ ways = 550 ways. 495 + 550 = 1045 ways.
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