If there are 7 distinct points on a plane, what is the maximum number of straight lines joining these points?
Answers
15 maximum no. of straight lines can be formed
21 straight lines can be drawn by joining 7 distinct points.
Explanation:
Two points can make a straight line. We have 7 distinct points on a plane. The direction of the straight line is not mentioned here.
Let us find how many straight lines can be made by joining 7 distinct points.
The formula for combination of choosing 2 points from 7 distinct points,
7C2= 7!/(7-2)!2!
7! =7*6*5*4*3*2*1
7! = 5040
2! = 2*1
= 2
7C2 = 5040/2
= 21
So 21 straight lines can be drawn from 7 distinct points.
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