Discrete Math Chapter 2 Final Project 6) The Nassau County Board of Supervisors John Banzhaf first introduced the concept of Banzhaf power in 1965. Banzhaf used mathematics to argue that the weighted voting system used by the Board of Supervisors of Nassau Count, New York, violated the "equal protection" guarantees of the 14th amendment. In the 1960's, Nassau County was divided into six uneven districts, four with high populations and two rural districts with low populations. The table show the name of the district along with the weight that corresponds to the area's population. Nassau County Board (1964) District Weight The quota to pass a motion was a simple majority of 58 Hempstead #1 31 out of 115 votes Hempstead #2 31 Use Banzhaf's method to show why the weighted system is unfair in this situation. Show the math and write a few Oyster Bay 28 sentences to describe what is wrong. State if there are North Hempstead 21 any dictators, any members with veto power, or Long Beach 2 dummies. Glen Cove 2 Due to this New York State abolished weighted voting in 1993. Nassau County went to a 19 member legislature in 1996, each member getting one vote and representing about the same number of people