
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
Our school's boys soccer team consists of 18 players, including a set of twins: Bob and Bill. The coach needs to choose a starting lineup of 8 players. Every starting lineup must include at least one of the twins and at least 3 players who are defenders. If there are exactly 5 defenders on the team, in how many ways can the coach choose the starting lineup?

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