How many ways are there to put 5 balls in 3 boxes if the balls are distinguishable but the boxes are not?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many ways are there to put 5 balls in 3 boxes if the balls are distinguishable but the boxes are not?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
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How many ways are there to put 5 balls in 3 boxes if the balls are distinguishable but the boxes are not?
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