how many ways can we arrange a row of four girls followed by four boys if girls must sit togther and boys must sit together?

i know stuiped question i just cant figure it out lol

Printable View

- Nov 18th 2006, 02:06 AMscrappylost
how many ways can we arrange a row of four girls followed by four boys if girls must sit togther and boys must sit together?

i know stuiped question i just cant figure it out lol - Nov 18th 2006, 03:37 AMSoroban
Hello, scrappy!

Quote:

How many ways can we arrange a row of four girls followed by four boys

if girls must sit togther and boys must sit together?

. . $\displaystyle \underbrace{G\:G\:G\:G}_{\text{4! ways}}\,\underbrace{B\:B\:B\:B}_{\text{4! ways}}$

Answer: .$\displaystyle 4! \times 4! \:=\:24 \times 24 \:= \:576$ ways

- Nov 18th 2006, 07:56 AMCaptainBlack
- Nov 18th 2006, 10:21 AMSoroban

It's a matter of interpretation, I guess, but I*did*give it some thought.

"How many ways can we arrange a row of four girls**followed by**four boys . . . "

. . I read that to mean*in that order*.

If they meant $\displaystyle GGGGBBBB$$\displaystyle BBBBGGGG$, why use the phrase "followed by"?*or*

Wouldn't it have said, "In how many ways can we arrange a row of four girls and four boys

. . if girls must sit togther and boys must sit together?"

- Nov 18th 2006, 10:43 AMCaptainBlack