SOLUTION: 8 points are placed on the line a, 7 points are placed on the line b. How many triangles is it possible to form such that their vertices will be the given points, if a∥b?

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Question 1119818: 8 points are placed on the line a, 7 points are placed on the line b. How many triangles is it possible to form such that their vertices will be the given points, if a∥b?
Answer by ikleyn(52894)   (Show Source): You can put this solution on YOUR website!
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You have   = 8*21 = 168 triangles having one vertex in line "a" and two vertices in line "b".


Plus you have  = 7*28 = 196 other triangles, having one vertex in the line "b" and 2 vertices in the line "a".


In all, there are 168 + 196 = 364 triangles.

Solved.


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