
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
Given Emma's telephone number has the form $555-ab-cde-fgh$, where $a$, $b$, $c$, $d$, $e$, $f$, $g$, and $h$ are distinct digits in increasing order, and none is either $0$, $1$, $4$, or $5$, determine the total number of different telephone numbers Emma could have.

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