there are 6 lines can pass through 4 noncollinear points.
If you are talking about straight lines, the answer is NONE, because that is what noncollinear means. If curves are allowed, then the answer is infinitely many.
As long as at least two of them are different points, exactly one line.
To connect seven noncollinear points, draw six line segments connecting each point to every other point. This will create a network of lines that connect all seven points without crossing or overlapping.
Three lines are determined by three points unless the points are all on the same line ( i.e. co-linear)
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
One.
Exactly one plane in each case.
There are 13*12/2 = 78 lines.
3
4*3/2 = 6 lines.