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IMSO 2016 — Mathematics — Essay Question 10

IMSO Maths · IMSO 2016 — Mathematics — Essay

Question 10

Given 6 different coloured crayons, colour each side of a cube using a different colour. Then write the six numbers on each face so that the numbers 6 and 1; 2 and 5; 3 and 4 are opposite each other. How many different cubes can you make? (Two cubes are considered to be the same if you can rotate one cube into the position of the other.)