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Formation of Algebraic Expressions

Find the numb...

Question

Find the number of triangles which can be formed by joining three angular points of a quindecagon.

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Solution

A quindecagon has $15$ sides
$∴$ Total Number of triangles formed
$=$ Selection of $3$ points out of $15$
$=^{15} C_{3}$
$= 455$

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