<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Among 5 table tennis players, there are 2 veteran players and 3 new players. Now, 3 players are to be selected to form positions 1, 2, and 3 to participate in a team competition. The selection must include at least 1 veteran player, and among positions 1 and 2, there must be at least 1 new player. How many such arrangements are there? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
48
Among 5 table tennis players, there are 2 veteran players and 3 new players. Now, 3 players are to be selected to form positions 1, 2, and 3 to participate in a team competition. The selection must include at least 1 veteran player, and among positions 1 and 2, there must be at least 1 new player. How many such arrangements are there?
test