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Quantitative Aptitude

Combination

What is the n...

Question

What is the number of diagonals that can be drawn by joining the vertices of a hexagon?

A

9

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B

5

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C

14

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D

12

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Solution

The correct option is A
9

A line is obtained by joining two vertices.

So out of 6 vertices of the hexagon, the number of line segments = C(6,2) = 15

But out of these 6 are sides, so the remaining must be diagonals.

= 15 - 6 = 9

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