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Probability Quiz

  1. Feb 22, 2013 #1
    i would like to have some help here.. it is a problem in probabilities i can not find anyway to start finding the functions any ideas and help will be apriciated.



    How many functions are there from the power set of all (0,1,2,.....,9) with values in total (a,b,c)?
    The number is too large. Write your answer as the (natural-based e) logarithm of that number with one digit precision (it should the first digit to the right of the decimal point is correct).
     
  2. jcsd
  3. Feb 22, 2013 #2

    chiro

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    Hey ParisSpart.

    What kind of functions can you have? Do you have some specific template that you have to follow?
     
  4. Feb 23, 2013 #3

    tiny-tim

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    Hi ParisSpart! :smile:
    I don't understand this :redface:

    what does "in total" mean? :confused:
     
  5. Feb 23, 2013 #4
    it means in the set of numbers:(a,b,c)
     
  6. Feb 23, 2013 #5

    tiny-tim

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    hmm … whyever did you write "in total" then? :redface:

    ok, for any set X with n elements, how many functions are there from the set X to the set {a,b,c} ? :smile:
     
  7. Feb 23, 2013 #6
    yea... and its says that the number is too big and we must write it like :xxxxxxxxe
     
  8. Feb 23, 2013 #7

    tiny-tim

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    for any set X with n elements, how many functions are there from the set X to the set {a,b,c} ? :smile:
     
  9. Feb 23, 2013 #8
    dont know :D
     
  10. Feb 23, 2013 #9

    tiny-tim

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    for any set X with n elements, and for any set Y with m elements,

    how many functions are there from the set X to the set Y ? :smile:
     
  11. Feb 23, 2013 #10
    i will multiply m with n?
     
  12. Feb 23, 2013 #11

    tiny-tim

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    are you guessing? :wink:

    why do you think that should work?​
     
  13. Feb 23, 2013 #12
    i dont have any idea for this quiz i need some guides......for finding the solution..
     
  14. Feb 23, 2013 #13

    tiny-tim

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    ok, try it for X = {0,1} and Y = {a,b,c,d,e,f} …

    (ie n = 2, m = 6)

    how many functions from X to Y? :smile:
     
  15. Feb 23, 2013 #14
    i think 12
     
  16. Feb 23, 2013 #15

    tiny-tim

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    ok, if there's only 12 you can easily write them out …

    write out 12 functions from {0,1} to {a,b,c,d,e,f} :wink:
     
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