
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
By default, iPhone passcodes consist of four base- $10$  digits. However, Freya decided to be unconventional and use hexadecimal (base- $16$ ) digits instead of base- $10$  digits! (Recall that  $10_{16} = 16_{10}$ .) She sets her passcode such that exactly two of the hexadecimal digits are prime. How many possible passcodes could she have set?

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