<|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
 Three balls labeled $A$, $B$, and $C$ are randomly placed into four boxes numbered $1$, $2$, $3$, and $4$. Find the total number of different ways in which box $1$ has no balls and all three balls are placed in boxes $2$, $3$, and $4$. 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
27
Three balls labeled $A$, $B$, and $C$ are randomly placed into four boxes numbered $1$, $2$, $3$, and $4$. Find the total number of different ways in which box $1$ has no balls and all three balls are placed in boxes $2$, $3$, and $4$. Express your answer as a single integer.
test