<|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
 A "progressive number" refers to a positive integer in which each digit is greater than the digit to its left, such as: 24578. Then, the total number of five-digit "progressive numbers" is \_\_\_\_\_\_. 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
126
A "progressive number" refers to a positive integer in which each digit is greater than the digit to its left, such as: 24578. Then, the total number of five-digit "progressive numbers" is \_\_\_\_\_\_.
test