00:01
In your question, we're trying to determine the number of different arrangements that we can have for a family of four children and six adults seated at a theater.
00:12
So that's going to be 10 total seats, and i'm going to create a space for each seat.
00:20
It says they reserved a row, so i have 10 positions here.
00:25
Now it says the middle four seats have to be for the children, and then the adults have to sit on the outside.
00:37
Now the way we could solve this question is to use the multiplication counting principle, which simply states, determine the number of ways we can choose something for each position.
00:49
So for the first adult position, there would be six adults that we could choose from.
00:56
Then for the second adult position, there would be five.
01:00
The third adult position, there would be four adults left to choose...