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How many chords can be drawn through ...

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

Text Solution

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Since a chord is formed by joining two points.
So, number of chords formed by 21 points.
`=.^(21)C_(2) = (21!)/(2!xx19!) = (21 xx 20 xx 19!)/(2 xx 1xx 19!) = 210`.
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