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

Question

Toppr Admin · Accepted Answer

We know that -xA0-to draw-xA0-a-xA0-chord of a circle- only 2 points are required-So-the number of chords that can be drawn through the given 21 points on a circle is-xA0-21C2-21-2-21-x2212-2-21-2-19-21-xD7-202-210

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

We know that to draw a chord of a circle, only $2$ points are required.

So,the number of chords that can be drawn through the given $21$ points on a circle is

$^{21} C_{2} = \frac{21!}{2! (21 - 2)!} = \frac{21!}{2! 19!} = \frac{21 \times 20}{2} = 210$

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

We know that to draw a chord of a circle, only 2 points are required.So,the number of chords that can be drawn through the given 21 points on a circle is 21C2=21!2!(21−2)!=21!2!19!=21×202=210

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

We know that to draw a chord of a circle, only $2$ points are required.

So,the number of chords that can be drawn through the given $21$ points on a circle is

$^{21} C_{2} = \frac{21!}{2! (21 - 2)!} = \frac{21!}{2! 19!} = \frac{21 \times 20}{2} = 210$