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anonymous

  • one year ago

In how many ways may 3 red cars, 4 blue cars, 4 yellow cars, and 2 green cars be parked so that those of the same color are parked together?

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  1. hartnn
    • one year ago
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    Hi rigo :) Do you have some idea on how to solve this? In how many ways can you arrange just 3 red cars??

  2. anonymous
    • one year ago
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    I was thinking (13!/3!4!4!2!)

  3. hartnn
    • one year ago
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    so you do have some idea, cool! 3!4!4!2! are the total ways to park those colored cars, but now you have one bunch of red cars, one bunch of blue cars, and so on.. that you can arrange among themselves. how many bunches of cars are there?

  4. hartnn
    • one year ago
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    thats because 3 red cars parked first is a different way than 3 rd cars parked last!

  5. hartnn
    • one year ago
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    now see if you get the total ways as \(4! \times (3!4!4!2!)\)

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