Distinct Lines from Points

Consider four points P, Q, R, and S on a plane, where no three points lie on the same straight line (i.e., they are non-collinear). How many distinct straight lines can be drawn using these four points?

• 4

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• 7

Consider five points X, Y, Z, W, and V on a plane, where no three points are collinear. How many distinct straight lines can be formed using these five points?

• 8

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• 12

• 15

If there are six points A, B, C, D, E, and F on a plane, and no three points are collinear, how many distinct straight lines can be drawn?

• 12

• 15

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• 25

Seven points are placed on a plane such that no three points are collinear. How many distinct straight lines can be drawn?

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• 28

• 35

Eight points are positioned on a plane such that no three points are collinear. How many distinct straight lines can be formed?

• 24

• 28

• 36

• 56