
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
The number of different possible programs that a performing arts group can arrange with four singers and two comic sketches, keeping the relative order of the singer performances unchanged, is given by the product of combinations of adding the two sketches and the permutations of the original four singers and the added two sketches.

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