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One and only one straight line can be dr...

One and only one straight line can be drawn passing through two given points and we can draw only one triangle through non-collinear points. By integral coordinates (x,y) of a point we mean both x and y as integers .
The number of triangles whose vertices are the vertices of an octagon but none of whose sides happen to be come from the octagon is

A

24

B

52

C

48

D

16

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The correct Answer is:
D
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