3. Consider a game with three players1,2, and3. Player 1 moves first and chooses one of (a1; a2; a3). If she chooses a1, the game ends with payoffs (1;2;1) for the three players. If she chooses a2, Player 3 moves and chooses from (b1; b2). If he chooses b1, the payoffs are (1,2,4). If he chooses b2, the payoffs are (2,1,2). If Player 1 chooses a3, Player 2 moves and chooses one of (c1; c2). Player 1 then moves, not knowing what Player 2 has chosen, and chooses from (d1; d2). The payoffs, given a3, are as follows: From (c1; d1), (2,1,4); from(c1; d2), (0,0,1); from(c2; d1), (1,0,1); and, from(c2; d2), (1,2,4).(a) (15%) Draw the extensive form, including the payoffs at terminal nodes, making sure to mark the information sets.(b) (5%) How many strategies does Player1have?