
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 that Mr. and Mrs. Epsilon want to name their baby Alex such that his monogram (first, middle, and last initials) will be in alphabetical order, consists only of vowels, and the last initial is 'X', find how many such monograms are possible.

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