
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 three-digit positive number is considered an "umbrella number" if the digit in the tens place is greater than both the digit in the units place and the digit in the hundreds place. Now, select three distinct digits from the set {1, 2, 3, 4, 5}, and form a three-digit number without repeating any digits. Determine how many such "umbrella numbers" there are.

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