00:01
All right, let's look at some problems that involve permutations or combinations.
00:06
And looking at these, looks like we might have a mix of both.
00:09
All right, so we talk about permutations.
00:12
For the most part, that means we're talking about arrangements.
00:19
Or sometimes it means, like, we give titles to people.
00:22
So if you choose people and you say, we're going to name one person a president, a vice president, a secretary, that would fall under permutations.
00:30
Combinations is where the order doesn't matter.
00:31
We'll just call that combos.
00:33
Okay, so the order doesn't matter.
00:37
That's just, we're going to select a certain amount of people, and we want to know how many groups of those people we can make.
00:43
All right, so we have a couple ones.
00:45
First one, let's just go in order, let's just call this a.
00:48
We got eight pens and seven pencils, and we want to select some of those.
00:56
We want to know how many ways can six pens or six pencils be selected.
01:01
So let's go ahead, let's do that.
01:03
So this one doesn't say we're arranging them.
01:06
Or just putting them on display.
01:08
We're just choosing them.
01:09
So it doesn't matter what pencil i choose first.
01:11
That means it would be a combo.
01:13
So that's going to be 8c, and we're going to select six of them for the pens.
01:17
And then we're going to also select six of them.
01:19
So it would be 7, c, 6 for our pencils.
01:23
All right.
01:24
Now, when i look at setting these up, i would have, for the first one, it'd be 8 times 7, times 6, times 5, times 4, times 3.
01:35
That's one, two, three, four, five, six...