Algebra 1

In how many ways can Abby, Bonnie, Chuck, Dennis, Ed and Fred line up at the water fountain so that the two girls, Bonnie and Abby, are not beside each other?

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  1. number of ways without restriction is
    6! or 720

    let's put Abby and Bonnie together
    number of ways = 2x5! = 240

    (I multiplied 5! by 2 because it could have been Abby-Bonnie or Bonnie-Abby)

    So the number of ways they are not together is 720-240 or 480

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