# Graphs problem

• Oct 15th 2009, 12:16 AM
Snowboarder
Graphs problem
Hi everyone. I've got this annoying home work question and i'm completely dumb. Can anybody help please?

Two families of five (each consists of 2 adults and 3 children) are sitting on a long park bench. How many possible arrangements of people are possible in each of the following situations?

(a) Each people sit anywhere they like.
(b) No person sits next to an member of their family.
(c) Each family of five sits in a group.
(d) The children of the two families sit at opposite ends of the bench.
(e) The adults all sit in a group.

Thank you to everyone that would like to help
• Oct 15th 2009, 04:29 AM
Hello Snowboarder
Quote:

Originally Posted by Snowboarder
Hi everyone. I've got this annoying home work question and i'm completely dumb. Can anybody help please?

Two families of five (each consists of 2 adults and 3 children) are sitting on a long park bench. How many possible arrangements of people are possible in each of the following situations?

(a) Each people sit anywhere they like.
(b) No person sits next to an member of their family.
(c) Each family of five sits in a group.
(d) The children of the two families sit at opposite ends of the bench.
(e) The adults all sit in a group.

Thank you to everyone that would like to help

This question has just been answered here.