Edit: For those of you who're not aware of the minigame; those three icons next to your power orb. A great guide to them can be found at gamespot which explains everything else.
[Edited by kasimmorathi, 11/8/2007 10:51:00 PM]
Please note that the requirements do not appear in a specific order. You can have any combination of requirements in any order left-to-right (they don't have to be satisfied in order), such as three loot-types, or three damage-types, or three creature-types. You never know.
[Edited by flerndip, 11/9/2007 2:23:09 AM]
I've been trying this in single player for hours and it won't repeat the boss loot. Only the first time.
as for reinstall the game without patching, if you have bad luck sometimes exiting the game wont save your character properly. I leveled one of my new char to lvl 10 and next time i log back in he's back to level 2 with no gears on him, just money.
you have to exit game to reset the quest. i recommend kill all enemies on level, then exit to main menu. then when you reload, the quest is also reset.