
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
From a group of 5 boys and 4 girls, 4 people are selected to participate in a panel discussion.

(I) How many ways are there to select 2 boys and 2 girls?

(II) How many ways are there to select the group such that at least one of the boys (named A) or one of the girls (named B) is included?

(III) How many ways are there to select the group such that it must contain both boys and girls?

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