<|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
 There are 160 different cards on the table with numbers $5, 10, 15, \ldots, 795, 800$ (each card has exactly one number, and each number appears exactly once). In how many ways can 3 cards be selected such that the sum of the numbers on the selected cards is divisible by 3? 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
223342
There are 160 different cards on the table with numbers $5, 10, 15, \ldots, 795, 800$ (each card has exactly one number, and each number appears exactly once). In how many ways can 3 cards be selected such that the sum of the numbers on the selected cards is divisible by 3?
test