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 ways can the innkeeper assign the guests to the rooms?<spanclass=′latex−bold′>(A)</span>2100<spanclass=′latex−bold′>(B)</span>2220<spanclass=′latex−bold′>(C)</span>3000<spanclass=′latex−bold′>(D)</span>3120<spanclass=′latex−bold′>(E)</span>3125