
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
Mrs. Crabapple has slightly changed her rules during British Literature period visits. Now, each day she picks a student randomly to give a crabapple, but a student cannot be selected two days in a row. With 11 students in the class and the class meeting three times a week instead of four, how many different sequences of crabapple recipients are possible in a week?

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