Monday

September 1, 2014

September 1, 2014

Posted by **Anonymous** on Wednesday, November 18, 2009 at 2:37pm.

a) how many seating arrangements are possible for these eight people?

b) how many arrangements are possible if each couple sits together? explain your reasoning.

------------------------------------

Can someone check my work please? In particularly, part d) -- not sure about this one.

a) 8!

b) (7! x 2)+ (6! x 2)+ (5! x 2) + (4! x 2)

c)8! - [(7! x 2)+ (6! x 2)+ (5! x 2) + (4! x 2)]

d) actually, for me.. part b and c do add up. I think my work for these parts are right though..? so i don't know why they would not add up to the answers in part a. i took the total arrangements and subtracted the times that the partners are together thus i should get the times when they are not together. that's my reasoning, but i'm not sure.

c) how many arrangements are possible if no one is sitting beside his or her partner?

d) explain why the answers from parts b and c do not add up to the answer from part a.

**Answer this Question**

**Related Questions**

Math - Four couples have purchased ticket to the school play. Their sear are ...

math - A,B,C, and D are sitting along one side of a table. In how many different...

Statistics - A student wonders if tall women tend to date taller men than do ...

algebra - the local high school is setting up square-shaped lunch tables in the ...

MATH - URGENT!!! - 6 people are sitting around a table. Let x be the number of ...

MATH _ RE-POST PLEASE HELP - 6 people are sitting around a table. Let x be the ...

Math Probabilities - A survey of TV viewing habits of 50 men and 50 women found...

Math - The teacher plans to assign 8 students to 8 desks for a debate. How many ...

Math - 2)Banquet Seating A banquet hall offers two types of tables for rent: 6-...

Math - I'm really struggling with how to set this up: A company has 18 members ...