If n lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent, such that these lines divide the planein 67 parts, then find number of different points at which these lines will cut.

Explanation

To solve the problem, we need to find the number of lines \( n \) that divide the plane into 67 parts, given that no two lines are parallel and no three lines are concurrent.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We know that \( n \) lines divide the plane into parts, and we need to find the relationship between the number of lines and the number of parts they create.

2. **Formula for Parts Created by Lines**:
...