00:02
All righty, we want for part a how many ways we can choose for nines.
00:09
So if we draw five cards, one, two, three, four, five.
00:14
Our first option for our nine, we have four options.
00:18
Second option, now we have three because we used to nine.
00:22
Now we have two, and then we have one.
00:26
And it doesn't matter what goes here.
00:33
Anything else because now we're out of nines.
00:36
So if we multiply across, we have 24 different ways.
00:42
We can choose a nine.
00:46
Actually, let's reverse that.
00:49
Give it more thought.
00:53
We're still drawing a fifth card, which means now that we've used up four cards, we have 48 left to choose from.
01:00
So we can choose any of the 48.
01:03
So 24 times 48, we have 1 ,152 options.
01:10
If we go to part b to choose no hearts, how many possible options are there? so if we have 13 hearts, 52 minus 13 is 39.
01:26
So option one, we have 39 cards to choose from.
01:29
If we don't choose a heart, we now have 38 options, 37, 36, 35.
01:36
So we say 39 times 38 times 37 times 36 times 35.
01:42
And we get 6 ,900, or 69 ,000 ,000, 840 options.
01:59
Now if we move to part c, we want exactly three hearts...