Question

8 points are marked on the circumference of a circle the number of chords obtained by joining these in pairs is​

Answer 1

Answer:

28

Step-by-step explanation:

2 points required to get one chord.

So possible number of chords = 8C2

= (8x7)/(2x1)

= 28

Answer 2

28 chords can be obtained by joining these in pairs.

Step-by-step explanation:

Consider the provided information.

We have given 8 points on the circumference of a circle and we need to find the number of chords.

We can find this with the help of combination.

It required two points on the circumference of a circle to draw a chord.

Thus, we have 8 points out of which we need to select 2 at a time.

Total number of chords:

$^8C_2=\frac{8!}{2!6!}\\\\^8C_2=\frac{7\times8}{2}\\\\^8C_2=28$

Hence, 28 chords can be obtained by joining these in pairs.

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