Two players A and B are playing a game where a ball is placed in one of 10 spots. Each spot is valued at 1,2,3,4...1O respectively. Player A has 5 balls whereas player B has only 4 balls. Each player can place one and only one ball in a spot. Both players will make their decisions at the same time, if there is only one ball at a spot, the player who places it is awarded the spot. If there are two balls at the same spot it will result in a tie that has a payoff of 0. A player's payoff is the sum of the values of the spots he owns minus the sum of the values of the spots owned by the other player. 1) How many pure strategies does player A have? How about player B? 2) What would player A do if for some reason he knew what a dominated strategy was? Please explain your