
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, there are 8 periods every Wednesday, 4 in the morning and 4 in the afternoon. The subjects to be scheduled are Chinese, Mathematics, Foreign Language, Physics, Chemistry, Physical Education, and two self-study periods.

(I) If Mathematics, Physics, and Chemistry are to be scheduled in the morning, and the two self-study periods are to be scheduled in the afternoon, how many scheduling methods are there?

(II) If Physical Education is not scheduled for the first period, and Mathematics is not scheduled for the last period, how many scheduling methods are there?

(III) If Chinese and Mathematics are to be scheduled consecutively, and the two self-study periods are not scheduled consecutively (the fourth and fifth periods do not count as consecutive), how many scheduling methods are there?

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