Question

How many distinct chords of a circle can be drawn using any of the 10 points that lie on the circle?

Answer 1

Answer:

use (n-1) /2 formula.........

Answer 2

Given,

Number of points on the circle = 10

To find,

Number of possible chords on that circle.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, any chord has two endpoints.

And, from the given 10 points we have to just calculate the possible combinations of two points. Thus we will get the possible number of chords. (application of nCr)

Possible number of chords

= 10C2

= (10!)/[2! × (10-2)!]

= (10×9×8!) / (2×8!)

= 90/2

= 45

Hence, 45 chords can be possible.