Board members just need take an Ancestry.com DNA test and someone will will have some kind of minority DNA in them. This way the state can't refute their claim.
I think 2 to the 10th is a mighty big number. Go back only 10 generations and everybody is somehow related to everyone else.
2 parents
2^10=20,000,000,000, or more than today's world population?
I'm not a math major so someone check that for me. Maybe we all can get a cut from "The Big Guy".