
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
In a class, 6 students received a grade of 5, 7 students received a grade of 4, and 1 student received a grade of 3 on a test. The teacher asked them to form pairs with different grades, where the student with the higher grade would explain to the student with the lower grade where they made a mistake.

In how many ways could the students form such pairs under this condition?

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