There are ten points in the plane, no three of which are coolinear. How many different lines can be drawn through these points ?

Explanation

To solve the problem of determining how many different lines can be drawn through ten points in the plane, where no three points are collinear, we can follow these steps:

### Step-by-step Solution:

1. **Understanding the Problem**: We have 10 points in a plane, and we need to find the number of lines that can be formed by selecting pairs of these points. Since no three points are collinear, every pair of points will form a unique line.

2. **Choosing Points**: To form a line, we need to select 2 points from the 10 available points. The number of ways to choose 2 points from a set of 10 points can be calculated using the combination formula \( nCk \), where \( n \) is the total number of points, and \( k \) is the number of points to choose.

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