Question: 5 dice 4 are the same?
Answer: For four of a kind, there are 5!/4! = 5 ways (i.e. any one of the five dice could have been the “single.”) For one pair, there are 5!/2! = 60 orderings (in the same way that there are 5!/2! = 60 ways to re-order the letters in the word “broom.”)