
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
In the word COMPUTATIONS, written with individual letter magnets on a metal board, 11 consonants and 4 vowels are used. If three vowels and four consonants are selected and put inside a box, and assuming the Ts are indistinguishable, how many distinct collections of letters can be put into the box?

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