
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
Jenna is at a festival with six friends, making a total of seven people. They all want to participate in various group activities requiring groups of four or three people. How many different groups of four can be formed, and how many different groups of three can be formed from these seven people?

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