Question

There are 5 circle and 5 straight line Find maximum number of intersection point.​

Answer 1

Step-by-step explanation:

Two circles intersect at two distinct points. Two straight lines intersect at one point.

One circle and one straight line intersect at two distinct points.

Then the total numbers of points of intersections are as follows:

Number of ways of selection

Points of intersection

Two straight lines:

5

C

2

5

C

2

×1=10

Two circle:

4

C

2

4

C

2

×2=12

One line and one circle:

5

C

1

×

4

C

1

5

C

1

×

4

C

1

×2=40

Total

=62

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