Question 47

Mathematics Binomial Theorem Hard

A polygon has 44 diagonals, the number of sides are

(A) 9
(B) 10
(C) 11
(D) 12
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

The number of diagonals in a polygon is: \[ ^nC_2 - n = 44 \] \[ \Rightarrow \frac{n(n - 3)}{2} = 44 \] or \[ n = 11 \]

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