Find the maximum number of points into which 10 circls and 10 straight lines intersect.

Explanation

To find the maximum number of points into which 10 circles and 10 straight lines intersect, we can break down the problem into three distinct cases:

### Step 1: Intersection of Circles
First, we need to consider how many points can be formed by the intersection of the circles themselves.

- Each pair of circles can intersect at most at 2 points.
- The number of ways to choose 2 circles from 10 is given by the combination formula \( \binom{n}{r} \), where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose.

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