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  1. #1
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    lost

    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
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  2. #2
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    Hello, scrappy!

    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?

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

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

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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Soroban View Post
    Hello, scrappy!


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

    Answer: . 4! \times 4! \:=\:24 \times 24 \:= \:576 ways
    What happened to BBBBGGGG?

    which doubles the number of ways.

    RonL
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  4. #4
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    Quote Originally Posted by CaptainBlack View Post
    What happened to BBBBGGGG?

    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 GGGGBBBB or BBBBGGGG, why use the phrase "followed by"?

    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?"

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  5. #5
    Grand Panjandrum
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    Quote Originally Posted by Soroban View Post
    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 GGGGBBBB or BBBBGGGG, why use the phrase "followed by"?

    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?"
    Yes, I guess that your interpretation fits the question better than mine,
    must resolve to read the questions more carefully for the rest of the day

    RonL
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