There are six points placed on one straight line and five points placed on another line parallel to the first. How many distinct straight lines can be drawn using all these points, including the two original lines?

Explanation

There are a total of 11 points, with 6 points collinear on one line and 5 points collinear on a parallel line. The total number of lines formed by these points is calculated by first choosing any 2 points out of 11, then subtracting the lines counted within each collinear set (6 points and 5 points) because those points lie on the same line. Finally, add back the two original lines. So, the total number of lines = C(11, 2) - C(6, 2) - C(5, 2) + 2 = 55 - 15 - 10 + 2 = 32.