SOLUTION: Consider a circle with two points, A and B. You can for exactly 1 segment. If there are three points, you can Form 3 segments. How many segments can be formed from 4 points? 6po

Algebra ->  Permutations -> SOLUTION: Consider a circle with two points, A and B. You can for exactly 1 segment. If there are three points, you can Form 3 segments. How many segments can be formed from 4 points? 6po      Log On


   



Question 970794: Consider a circle with two points, A and B. You can for exactly 1 segment. If there are three points, you can Form 3 segments.
How many segments can be formed from 4 points? 6points? 20 points, respectively?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Look for a pattern. You really would not need the pattern just for four points or six points; but for twenty points, look for the pattern.

How many points____________How many segments connecting all pair of points
_1_________________________- -
_2_________________________1
_3_________________________3
_4_________________________6 (you should draw this and find out).
_5________________________? (again, draw these and find out).
_6________________________?
_7________________________21
_8________________________?, (Do you see the process for finding each count of segments?)