Question

Find the number of chords that can be drawn through 16 points on circle.

Answer 1

see it will help you hope so

Answer 2

Given: There are 16 points on the circle

To find: Number of chords can be drawn

Step-by-step explanation:

As we know we can draw a chord on a circle having two distinct points on the circle

Total points = 16

Required points to draw a chord = 2

Therefore

Total number of chords can be drawn $^{16} C_2$

Now as we know

$^nC_r= \dfrac{n!}{r!(n-r)!}$

So we have

$^{16} C_2= \dfrac{16!}{2!(16-2)!} =\dfrac{16\times 15\times 14!}{2\times 14!} = 120$

Hence,120 chords can be drawn through 16 points on circle