
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

a) In how many different ways can the teacher call the students to the front of the board?

b) In how many of these sequences are the students NOT in alphabetical order?

c) In how many of these sequences are Arnaldo and Bernaldo called in consecutive positions?

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