olymmath

KöMaL 2010 K238

    The centre of the regular pentagon ABCDE is the point OO. Each of the points AA, BB, CC, DD, EE, OO is coloured red, yellow, blue or green (each point is given a single colour), so that none of the triangles OAB , OBC , OCD , ODE , OEA has two vertices of the same colour. In how many different ways is that possible?

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