
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
Between A and B, there are 6 parallel network cables, with their maximum information capacities being 1, 1, 2, 2, 3, and 4, respectively. Now, if we randomly select 3 of these network cables, in how many ways can we ensure that the sum of the maximum information capacities of these 3 cables is not less than 6?

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