
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
A contestant on a quiz show is offered three prizes D, E, and F, each worth a whole number of dollars from $1 to $9999. To win, the contestant must correctly guess the prices in sequence. The digits of these prices on a show were $2, 2, 2, 4, 4, 4, 4. Calculate how many valid guesses can be made for all three prizes based on this clue.

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