00:01
We've got five men and five women, and we need to make a line with all of them.
00:04
That is, this is going to be a 10 -person long line.
00:08
However, we have the condition that all of the men are going to be first in the line.
00:12
That is, the first half of the line is all going to be men, and therefore the second half will all be women.
00:19
So how many different ways can this be done? well, for the first person in the line, we have five choices.
00:25
That is, it has to be one of the five men.
00:28
Then for the second person, well, that also has to be a man because it's in the first half of the line.
00:33
So there's only four choices here because there were five men, but one of them has already been picked to lead the line.
00:39
And then next up, there's going to be three people because we've already chosen two.
00:42
Then two people and then the last man.
00:46
Then we move on to the women and we see a very similar situation.
00:49
One of them has to be the first woman in the line...