The office party is to have as part of its decorations 10 ceiling-to-floor vertical strips of colored paper bunting hanging side-by-side on the wall. Alan's boss has inquired him to get bunting (as economically as possible), but when Alan inquires what colors, boss says: I have not decided yet, but I wish there to be at least 10,000 different arrangements to select from! If Alan wishes to economize by having the few different colors as possible, but also wishes to offer his boss required number of choices, determine fewest number of colors he can utilize, and how many strips of every color must he purchase?