Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connect these points is
![\frac{1}{2} n^{2} -\frac{1}{2} n \frac{1}{2} n^{2} -\frac{1}{2} n](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D+n%5E%7B2%7D+-%5Cfrac%7B1%7D%7B2%7D+n)
How many segments can you draw if you mark 8 points on the circle?
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then the no of segments can be drawn=1/2×(8)^2-1/2×8
=1/2×8 (8-1)
=4×7
=28
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