
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
There are 6 students, among which 3 can sing, 2 can dance; 1 can both sing and dance. Now, we need to select 2 students who can sing and 1 who can dance to participate in a cultural performance. How many different ways are there to make this selection?

Present the answer in LaTex format: \boxed{Your answer}
user