
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 certain number test, the test score of the student with seat number $n$ ($n=1,2,3,4$) is denoted as $f(n)$. If $f(n) \in \{70, 85, 88, 90, 98, 100\}$, and it satisfies $f(1) < f(2) \leq f(3) < f(4)$, then the total number of possible scores for these 4 students is \_\_\_\_\_\_.

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