<|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
 To determine how many keys, all mounted on a single keychain, can be uniquely identified using the minimum number of different colored tassels. 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
3
To determine how many keys, all mounted on a single keychain, can be uniquely identified using the minimum number of different colored tassels.
test