
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 number is called an "umbrella number" if the digit in the tens place is greater than the digits in the units and hundreds places. How many "umbrella numbers" can be formed by selecting 3 different digits from 1, 2, 3, 4, 5, and 6?

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