
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
Eight distinct pieces of candy are to be distributed among three bags. The red bag and the blue bag must each receive at least two pieces of candy; the white bag may remain empty. How many arrangements are possible?
A) 35840
B) 39680
C) 46272
D) 51840
E) 57600

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