<|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
 Mohammed has eight boxes numbered 1 to 8 and eight balls numbered 1 to 8. Calculate the number of ways he can put the balls in the boxes so that there is one ball in each box, ball 1 is not in box 1, ball 2 is not in box 2, and ball 3 is not in box 3. Express your answer as a single integer. 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
27240
Mohammed has eight boxes numbered 1 to 8 and eight balls numbered 1 to 8. Calculate the number of ways he can put the balls in the boxes so that there is one ball in each box, ball 1 is not in box 1, ball 2 is not in box 2, and ball 3 is not in box 3. Express your answer as a single integer.
test