A limited number system uses base 12. There are at most four integer digits. The weights of the digits are 123, 122, 12, and 1. Special names are given to the weights as follows: 12 = 1 dozen, 122 = 1 gross, and 123 = 1 great gross.
(a) How many beverage cans are in 6 great gross + 8 gross + 7 dozen + 4?
(b) Find the representation in base 12 for 756910 beverage cans.
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