Measuring power on a state committee. The college athletics procedures committee makes policy decisions affecting college athletics programs throughout the state. The committee consists of three (A) dministrators, four (C) oaches in athletics departments, three (T) eam captains, and two (N) onathlete students. Assume that each of these four groups votes in a bloc. To make a policy change, a vote of at least 8 is required.
a. List all permutations of
b. Determine the pivotal voter in each permutation of
c. Find the Shapley-Shubik index for each voter in this system.
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MATHEMATICS ALL AROUND-PKG. UNIV ARK MO