I’m going to post a question here, and I’m not going to mention it in class. I want one of my students to post a solution as a comment or to otherwise send me a solution digitally (and I’ll post it here). I want to see if anyone is reading this, and I want to challenge you a bit. :)
When playing Delve: The Dice Game you notice that the Rogue’s Crippling Strike can be a very powerful attack against a single opponent (depending on the value on the sixth die). Crippling Strike requires a full house, which is three of one value and two of another value (a roll of 2-2-5-5-5-4 would be a Crippling Strike dealing 4 damage). Assuming you roll all six dice at once (e.g. on the final roll of a turn), how many different combinations are there which will result in a successful Crippling Strike?