<|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
 Distribute 5 students, namely A, B, C, D, and E, to Peking University, Fudan University, and University of Science and Technology of China, such that each university receives at least one student. Calculate the total number of different distribution methods. 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
150
Distribute 5 students, namely A, B, C, D, and E, to Peking University, Fudan University, and University of Science and Technology of China, such that each university receives at least one student. Calculate the total number of different distribution methods.
test