True or False? Be sure to explain your answer, whether True or False, with an appropriate argument or counter-example to get full credit.

(a) A weakly dominated strategy will never be used in a Nash Equilibrium.

(b) No 2x2 matrix game has exactly three pure-strategy Nash equilibria.

(c) If a player is using a mixed strategy in a (mixed-strategy) Nash Equilibrium, then he must be indifferent between the pure strategies that he randomizes over, given the strategies used by the other players.