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AP EAMCET2012MathematicsPermutation and Combination

A regular polygon of n sides has 170 diagonals, then n is equal to

Options

  1. A12
  2. B17
  3. C20
  4. D25

Correct answer

C. 20

Step-by-step solution

We know that, array rlrl Number of diagonals & = n(n-3) 2 & & 170 & = n(n-3) 2 & 340 & =n(n-3) & 20 17 & =n(n-3) & n & =20 array

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