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Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

a) 56
b) 24
c) 16
d) 8

Answer: a
Explanation: A triangle needs 3 points.
And polygon of 8 sides has 8 angular points.
Hence, number of triangle formed,
$$\eqalign{ & { = ^8}{{\text{C}}_3} \cr & = \frac{{8 \times 7 \times 6}}{{1 \times 2 \times 3}} \cr & = 56 \cr} $$

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