<|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
 Class 1 and Class 2 of the senior year at a certain school are holding New Year's Eve parties in their respective classes on December 30th. All 6 teachers are assigned to these two classes to join the celebration with the students, with each class having no more than 4 teachers. Find the number of different arrangements of teachers between the two classes. 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
50
Class 1 and Class 2 of the senior year at a certain school are holding New Year's Eve parties in their respective classes on December 30th. All 6 teachers are assigned to these two classes to join the celebration with the students, with each class having no more than 4 teachers. Find the number of different arrangements of teachers between the two classes.
test