The academic council at the U of A is seeking representation from among six students who are affiliated with four honor societies. The academic council representation includes three areas: mathematics, art, and engineering. At most two students in each area can be on the council. The following table shows the membership of the six students in the four honor societies:

The students who are skilled in the areas of mathematics, art, and engineering are shown in the following table:

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Society 1 234 2 3 4 Affiliated students 1,2,3 1,3,5 3,4,5 1, 2, 4, 6