Question

Ana, Brian, Carla, David, and Eric are friends. They go to a movie, but cannot find five seats together. they have to spilt up into a group of three and a group of two. How many different ways can the friends organize themselves into these two groups?

Answer 1

1. Ana, Brian & Carla, David, Eric
2. Ana, Carla & Brian, David, Eric
3. Ana, David & Carla, Brian, Eric
4. Ana, Eric & Carla, David, Brian
5. Brian, Carla & Ana, David, Eric
6. Brian, David & Ana, Carla, Eric
7. Brian, Eric & Ana, Carla, David
8. Carla, David & Ana, Brian, Eric
9. Carla, Eric & Ana, David, Brian
10. David, Eric & Carla, Ana, Brian

There are 10 different ways to organize them.