Question

1. What is the maximum number of points of intersection of 5 non-
overlapping circles?
A. 10
B. 15
C. 20
D. 25​

Answer 1

Answer:

20

Step-by-step explanation:

2 * nC2 = 2 * n * (n – 1)/2 = n * (n-1)

As we can see in above diagram, for each pair of circles, there can be maximum two intersectuib points. Therefore if we have n circles then there can be nC2 pairs of circles in which each pair will have two intersections. So by this we can conclude that by looking at all possible pairs of circles the mathematical formula can be made for the maximum number of intersection by n circles is given by 2 * nC2

Answer 2

Answer:

20 option (C) is correct one..

Step-by-step explanation:

number of the point is given to us is 5  (n =5), and on the overlapping of two circle there are two points which intersect, so we have r = 2

now the number of possible combination will be our answer which is

n                5

  c     =           c         =        5!

     r                     2            3!2!  

                             

                                  = 20

hence on solving we get 20 as our correct answer. option c.