# Rearranging "Baggage"

Discrete Mathematics Level pending

How many distinct ways are there to rearrange all the letters in the word "$$baggage$$" ?

Details and assumptions

The 3 letters $$g$$ are indistinguishable from each other. The same applies to the two letters $$a$$.

The arrangement "$$baggage$$" should be counted as one of the distinct ways. "$$egaggab$$" is another one of the distinct ways.

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