
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
There are 9 ping-pong balls, among which 2 are identical and red, 4 are identical and white, and the remaining 3 balls are different, being yellow, blue, and black. A person picks 4 balls from these 9, with at least one red ball and one white ball among them. There are $\boxed{11}$ ways to do this.

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