
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
Given that a province will select 4 key development projects from 5 class A technology projects, 6 class B technology projects, and 4 class C technology projects, with the conditions that all three types of projects must be included and one project from class A has already been selected, determine the total number of different ways to satisfy these conditions.

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