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How many chords can be drawn through 21 points on a circle?

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1 Answer

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by (40.5k points)

Since, for drawing a chord, we need two different points on circle.

Therefore, total number of chords can be drawn through 21 points on a circle in 

\(^{21}C_2=\cfrac{21\times20\times19!}{19!\times2}\)

= 21 x 10 = 210

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