<|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 6 students, among which 3 can sing, 2 can dance, and 1 can both sing and dance. Now, we need to select 2 students who can sing and 1 student who can dance to participate in a cultural performance. There are a total of $\_\_\_\_\_$ ways to do this. 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
15
There are 6 students, among which 3 can sing, 2 can dance, and 1 can both sing and dance. Now, we need to select 2 students who can sing and 1 student who can dance to participate in a cultural performance. There are a total of $\_\_\_\_\_$ ways to do this.
test