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Math Help - A question from my quiz today

  1. #1
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    A question from my quiz today

    Suppose two boys named Davis, three boys named Jones, and four boys named Smith are arranged at random in a row containing nine seats.
    -How many arrangements can be made so that boys wearing the same name will stay together?

    I think it's 3 nPr 3.
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  2. #2
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    Quote Originally Posted by Chizum View Post
    Suppose two boys named Davis, three boys named Jones, and four boys named Smith are arranged at random in a row containing nine seats.
    -How many arrangements can be made so that boys wearing the same name will stay together?
    \left[ {(2!)(3!)(4!)} \right](3!)
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