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Q.

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

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a

28

b

48

c

none of these

d

20

answer is C.

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Detailed Solution

Total number of lines obtained by joining 8

vertices of octagon is $^{8} C_{2} = 28$ Out of these. 8 lines are sides

and remaining diagonal.

So, number of diagonals $= 28 - 8 = 20 .$

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