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The number of diagonals that can be drawn by joining the vertices of an octagon is

  1. $28$
  2. $48$
  3. $20$
  4. None of the option
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A diagonal is a line segment joining two vertices whereas those vertices are not sharing the same edge.

Therefore,

The number of diagonals that can be drawn by joining ‘n’ vertices =  (Total edges possible) – n

                                                                                                                     = C(n,2) – n

So for octagon the no. of diagonals possible = 20

(C) is the answer

 

Answer:

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