Okay, So the number of ways that you could have five cards and a hand where three cards were from one suit and two cards or from another suit, you really have to break this down quite a bit. Those three cards from one suit those could be three hearts or three diamonds or three states or three clubs. And then when we get all those numbers in that whole part figured out, we're gonna multiply by because of the. And remember in counting when it's Andy multiplied by the never ways to get two cards from another suit. Well, if you've already taken three cards from one suit, you only have three more suits to choose from. So it could be three. Excuse me. Could be two cards from some suit that you haven't yet used. I don't know what it is or two cards from another suit you haven't yet used, whichever that is, or two cards from that other suit you haven't yet used. So there's only three options there because you already used once you, you only have three suits left. Now let's work the combinations in, so there are 13 hearts available. And if you're going to choose three. That would be 13. Choose three for or when we can't, we add, There are 13 diamonds available. You're choosing three. So this is 13. Choose three also, plus there are 13 spades. You're choosing three, so this is also 13. Choose three, and for clubs, it would also be 13 to 3. So that whole thing, added together, is going to be multiplied by the next part. So, uh, pick one of the suits that's left. So one of the suits that's left has 13 cards left in it, so that would be 13. Choose to. There's another suit that's left. It also has 13 cards left in it. So that would also be 13 shoes, too. And they're still yet one more soup that's left and there's still 13 cards in it. So that would be 13 shoes, too. So one or the other or the other. That's why we're adding okay, so if we simplify the left part, we have four times 13. Choose three, and then when we simplify the right part, we have three times 13 choose to, and when we find those numbers, we get four times to 86 times. Three time 78 Multiply all that together and you get 267,000 696.