A polygon has 13 sides. How many triangles can be formed using…
A polygon has 13 sides. How many triangles can be formed using the vertices of this polygon?
एक बहुभुज की 13 भुजाएँ हैं। इस बहुभुज के शीर्षों का उपयोग करके कितने त्रिभुज बनाए जा सकते हैं?
Detailed Solution & Logic
Correct Answer:
286
Solution:
A triangle is formed by choosing any 3 vertices of the polygon.
For a 13-sided polygon:
$^{13}C_3 = \frac{13\times12\times11}{3\times2\times1}$
= 286
Answer: 286 (Option 4)
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