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Question 3 : P...........Q
R...........S
T...........U
V..........W
Using 5 dots in each of the lines PQ, RS, TU, and VW as the vertices, how many triangles can be drawn such that the base is on any
one of the above lines?
The base can be drawn in any one of the lines in 5C2 ways = 10 ways
A triangle can be formed by selecting a base and joining the ends of the base with a third point.
No of points left to choose the third point from = 15
Total no of lines = 4
Hence total number of triangles = 10 x 15 x 4 = 600
Choice D is the correct answer.
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