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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