Sixty points, of which thirty are coloured red, twenty are coloured blue, and ten are coloured
green, are marked on a circle. These points divide the circle into sixty arcs. Each of these arcs
is assigned a number according to the colours of its endpoints: an arc between a red and a
green point is assigned a number 1, an arc between a red and a blue point is assigned a number2, and an arc between a blue and a green point is assigned a number3. The arcs between two
points of the same colour are assigned a number 0. What is the greatest possible sum of all
the numbers assigned to the arcs?

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http://www.gutenberg.org/files/201/201-h/201-h.htm

someone told me all mathematicians shud read this book

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