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Q.

Triangles are formed by joining vertices of a octagon then number of triangle 

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a

In which exactly one side common with the side of octagon is 32

b

In which atmost one side common with the side of polygon is 48 

c

At least one side common with the side polygon 50

d

Total number of triangle 56 

answer is A, B, D.

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Detailed Solution

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Total number of triangle = C3   8=56 
Number of triangle having exactly one side common with the polygon =8×4= 32
Number of triangle having exactly two side common with the polygon = 8
Number of triangle having no side common with the polygon = 16

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