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Math Help - ***probability problem... please help***

  1. #1
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    ***probability problem... please help***

    Three men and three women line up at a checkout counter in a store.
    a. In how many ways can they line up?
    b. In how many ways can they line up if the first person in line is a woman, and then the line alternates by gender- that is a woman, a man, a woman, a man and so on?
    c. Find the probability that the first person in line is a woman and the line alternates by gender.

    ***I'm really stuck on this one, and help would be appreciated!!!!****
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  2. #2
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    \begin{array}{l}<br />
 a)\;6! \\ <br />
 b)\;\left( {3!} \right)^2  \\ <br />
 \end{array}<br />

    Can you finish?
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  3. #3
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    still don't get it

    I'm still not understanding. How di you arrive at your answer, that's what I need to know.
    Thanks
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  4. #4
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    Quote Originally Posted by bcelena View Post
    I'm still not understanding. How di you arrive at your answer, that's what I need to know.
    Well then what do you know about arrangements?
    How many way can we arrange "ABCD"
    Is it (4)(3)(2)(1)=(4!)? Four ways to put a first one; three wats to put a second one; etc.

    Now look back at the answers.
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  5. #5
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    thanks

    I figured it out, thanks for your help!
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