<DIV>"Participants of maths competition are doing 6 assignments, each marked one of marks : 6,4,2,0. We know that for each pair of participants (X,Y) we can choose two assignments - in both of them X got different mark than Y. For how many participants is this situation possible ? I mean the biggest number of participants "<BR><BR>Could you help me with this assignment ? It's very important for me and I suppose it's quite an interesting problem...<BR><BR>I will be grateful, <BR>Paul</DIV><p>
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