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Color Permutations In Row Of 6 Red, 3 Blue, 3 Green Flower Pots ?

  1. Sep 24, 2014 #1

    morrobay

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    With 6 red, 3 blue and 3 green flower pots, how many color permutations in row of 12 are there ?
    Its not 12! or n!/(n-r)!
     
  2. jcsd
  3. Sep 24, 2014 #2
    Why not try choosing in which places to put the red pots, then choosing which of the remaining places will have blue pots, etc...
     
  4. Sep 24, 2014 #3

    morrobay

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    I am looking for the formula for this question . It would take a long time to physically determine the answer !
    For example 12! ( the number of permutations of a row of twelve jurors is 479, 001,600. How long would that take you to get 12! physically ?
    One permutation of the twelve colored flower pots would be :BBRGBGRRGRRR
     
  5. Sep 25, 2014 #4

    Char. Limit

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    Keep in mind that for permutations with three types of objects, the general formula is:

    [tex]P = \frac{n!}{k_1 ! k_2 ! k_3 !}[/tex]

    Where n is the total number of objects (12 balls in this case), and [itex]k_1[/itex], [itex]k_2[/itex], and [itex]k_3[/itex] are the number of each type of ball (6 red, 3 blue, and 2 green in this case). Knowing that, you should be able to get the final answer easily.
     
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