please solve

3. Consider a game with three players 1, 2, and 3. Player 1 moves rst and chooses one of {11, a2,a3}. If she chooses an, the game ends with payoffs (1,2,1) for the three players. If she chooses a2, Player 3 moves and chooses from {(31, b2}. If he chooses b1, the payoHs are (1,2,4). If he chooses b2, the payoffs are (2,1,2). If Player 1 chooses (13, Player 2 moves and chooses one of {C1, C2}. Player 1 then moves, not knowing what Player 2 has chosen, and chooses from {(11, (2). The payoffs, given (13, are as follows: From {(31, d1}, (2,1,4); from {01,d2}, (0,0,1); from {C2,d1}, (1,0,1); and, from {62,612}, (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 Player 1 have