How many unique combinations can I make with 18 elements (2a, 2b, 2c, 3d, 4e, 5f) that I distribute into 6 groups of 3?

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I have 18 elements (2a, 2b, 2c, 3d, 4e, 5f) that I need to distribute into 6 groups of 3.
I want to now the number of unique combinations I can make with those rules.

I read various website but as of now I only find way to measure the combination of 18 different elements into 6 group of 3

=(FACT(18)/FACT(18-3))*(FACT(15)/FACT(15-3))*(FACT(12)/FACT(12-3))*(FACT(9)/FACT(9-3))*(FACT(6)/FACT(6-3))  

And I’m not even sure of what I did :D

Thanks a lot for your help

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