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Futuristic's gambling laboratory has decided that 6-sided [#permalink]

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09 Sep 2006, 15:44

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Futuristic's gambling laboratory has decided that 6-sided dice are out of fashion, and creates dice that are 10 sided, with numbers from 1 to 10 on the faces.

How many different combinations of numbers can be found by throwing 3 of these dice together? Assume all dice are undistinguishable.

the first dice can face any fo the 10 digits.
The second dice can face 9 digits, leaving the 1 digit occurred in dice 1
The third dice can face 8 digits, leaving the 2 digits occurred in dice 1 and 2

SO v have a a totoal number of 10*9*8 number of digits that V can have = 720