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Probability

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Can someone tell me if I have the correct answers? I am really confused.

Three boys and three girls line up to go in the front door.

In how many ways can they line up?
My answer: 720

How many ways can they line up if the first one in line is a girl and then alternates by gender, a girl, a boy...
My answer: 3*3*3*2*2*1*1=108

Find the probabiltiy that the first person in line is a girl and the line alternates by gender.
My answer: 1/120

  • Probability -

    first, 6!, correct
    second 3*3*2*2*1*1
    third: 24/720*1/2

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