
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]


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A company's employees are divided into three levels: A, B, and C, with a ratio of their numbers being 5:4:1. Using stratified sampling, a sample of size 20 is drawn from the population. It is known that the probability of both person A and person B from group C being selected is $\frac{1}{45}$. Find the total number of employees in the company.

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