Question
Number of chords that can be drawn through 20 points on a circle are
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GPT-4o mini
To find the number of chords that can be drawn through 20 points on a circle, we first need to recognize that a chord is defined by two distinct points on the circle.
Given \( n \) points on a circle, the number of ways to choose 2 points to form a chord is given by the combination formula:
\[
\binom{n}{2} = \frac{n(n-1)}{2}
\]
For our case, where \( n = 20 \):
\[
\binom{20}{2} = \frac{20 \times 19}{2} = \frac{380}{2} = 190
\]
Thus, the number of chords that can be drawn through 20 points on a circle is \( \boxed{190} \).
Given \( n \) points on a circle, the number of ways to choose 2 points to form a chord is given by the combination formula:
\[
\binom{n}{2} = \frac{n(n-1)}{2}
\]
For our case, where \( n = 20 \):
\[
\binom{20}{2} = \frac{20 \times 19}{2} = \frac{380}{2} = 190
\]
Thus, the number of chords that can be drawn through 20 points on a circle is \( \boxed{190} \).
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