A fancy bed and breakfast inn has 5 rooms, each with a distinctive color-coded decor. One day 5 friends arrive to spend the night. There are no other guests that night. The friends can room in any combination they wish, but with no more than 2 friends per room. In how many can the innkeeper assign the guests to the rooms?
The possible answers are: (A) 2100 (B) 2220 (C) 3000 (D) 3120 (E) 3125