00:03
Okay, so if you're playing a card game and using a standard deck of cards, which has 52 cards, 13 in each of four suits, and you're trying to find the number of ways you can get four cards from one suit and one card from another suit, you really have to break it down like this.
00:19
You could get four hearts or four diamonds or four clubs or four spades and one other card.
00:43
Now remember from the counting section in this chapter, if it's an or statement you're going to add, and if it's an and statement, you're going to multiply.
00:52
So the number of ways we could get four hearts would be 13, choose four, because there are 13 hearts and we're choosing four of them.
01:02
We're going to add to that the number of ways to get four diamonds, which is also 13 choose four, because there are 13 diamonds and we're choosing four of them.
01:10
Add to that the number of ways to get four clubs, 13 choose four.
01:13
Same idea, and add the number of ways to get four spades, 13 choose four.
01:19
So we add all that together, and then we multiply it by the number of ways to get one other card from a different suit...