
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
How many different ways are there to select 5 representatives from 5 girls and 7 boys under the following conditions?

(1) At least one girl is selected;

(2) A specific boy (let's call him Boy A) and a specific girl (let's call her Girl B) are selected;

(3) At least one of Boy A or Girl B is selected.

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