On a plane, there are four different points such that no three points are collinear. How many distinct straight lines can be drawn through these points?

There are four distinct points on a plane, with no three points collinear.

If no three points are collinear, each pair of points forms a unique line. The total number of lines can be found by counting all unique pairs of points.

The number of ways to select 2 points out of n points is given by the combination formula:

​$$^nC_2=\frac{n(n−1)}{2}$$​​

Here, n = 4 points.

The number of lines is:

​$$^4C_2 = \frac{4×3}{2} = 6$$​​

Thus, the total number of distinct straight lines that can be drawn is 6.