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Helping a Math Dunce

I have never been a math genius. Or even a math sub-genius. Or even a non-genius. In fact, I’m a bit of a Math Dunce. I need your help in solving a math problem.


Here’s what I need to figure out:
You have 30 words in each of three columns: A and B and C.

You can create sentences by choosing any word from column A and adding any word from B and any word from C.
Column A must follow column B must follow column C.

How many unique sentences can you create by picking one word from each column — all the words in all columns have been pre-vetted so there’s no chance of creating a sentence clinker — without repeating any sentences with identical words from each column?

When you have an answer, please post a comment and show your work to
help explain the logic of how you came to that conclusion!

Please also include any natural and unnatural laws you employed to help
you and any and all incantations invoked and magic spells you threw —
as well as the details of all the Voodoo that you do so well…

We’ll only pick a winner when a person not in your knowing
circle steps forward to confirm the answer is correct and then explains
the why of your math genius solution.

If you need more information in order to provide an answer, just
holler!
No name calling allowed. No taunting of the question allowed. No
mocking the simplicity of any obvious answers that are not obvious to
everyone.

No comments extolling the virtues of your trained monkey who
solves math problems like this every day for bananas.

Then, for extra credit… if you used: AA+B+C… how many unique
sentences could you then create? And then what about AA+B+CC… and so
on… and so on… and so on… ?

THANK YOU!

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