SOLUTION: If I roll five fair dices numbered from 1 to 6, I know that the different combinations for them (from 1,1,1,1,1 , 1,1,1,1,2 , 1,1,1,1,3 .... upto 6,6,6,6,6) is 7776 (6^5). However,

Question 973158: If I roll five fair dices numbered from 1 to 6, I know that the different combinations for them (from 1,1,1,1,1 , 1,1,1,1,2 , 1,1,1,1,3 .... upto 6,6,6,6,6) is 7776 (6^5). However, in the game Yahtzee, it is said that you only consider distinct results (which means that 1,3,1,4,5 is the same as 5,1,4,3,1). The number of distinct combinations for rolling 5 dices is 252. So, there's the answer! My question is, how do you mathematically solve this? What are the steps involved?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You will use the formula

as explained here (scroll to the bottom. It's the section right above where it says "In Conclusion")

In this case, n = 6, r = 5, so...

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So, when n = 6, r = 5
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