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MathNet 2010 — Part 01 Question 125

Math Olympiad Vault · MathNet 2010 — Part 01

Question 125

4 blue, 10 green and several (at least one) red points are marked on a plane. All points are distinct. It is known that the sum of the distances between the red points and the blue points is $21$, the sum of the distances between the red points and the green points is $2$.
Can the sum of the distances between the blue points and the green points be equal to

a) $20$?

b) $18$?