00:01
This question says that a designer has a palette of six different colors, and he's trying to design a flag with three vertical stripes, all of which are different colors.
00:09
We're asked to determine how many possible flags can be created.
00:14
So the first thing to determine is whether we're dealing with a permutation or a combination.
00:19
As i've written down here, a permutation is when the order matters, and then a combination is when the order does not matter.
00:27
So since we're dealing with a flag of which there are three lined up vertical stripes, the order.
00:32
Order obviously matters because if the blue stripe would be first, that would be different than a flag with the blue stripe last.
00:39
So we're dealing with a permutation since the order does matter.
00:44
The equation for that, as i have written here, it's going to be n factorial over n minus r factorial.
00:58
So first of all, what is our n? that is our total number of colors.
01:02
So for that we have six different colors.
01:06
And then the r, is the number of different stripes that we have...