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Math Help - Trouble working out combinations

  1. #1
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    Trouble working out combinations

    Hope this is clearer i did,nt want to just spam the forum by submitting my website.

    Thanks



    In each section of the game there are a 15 possible combinations.
    Below is a table that shows the combinations if you were to cover 2(the minumum), 3 , 4 ,5 ,6 games from any section
    See the table below.


    15 X 15 X 15 X 15(as there ARE 4 SECTIONS = 50,625 POSSIBLE combinations of playing the game

    here are some possible results that the game produces from the criterea given

    3 games from Section 1 (3 POSSIBLITIES)
    4 games from Section 2 (6 POSSIBLITIES)
    2 games from Section 3 (1 POSSIBLITY )
    3 games from Section 4 (3 POSSIBLITIES)

    3 X 6 X 1 X 3
    The combinations are 54


    4 games from Section 1 (6 POSSIBLITIES)
    4 games from Section 2 (6 POSSIBLITIES)
    3 games from Section 3 (3 POSSIBLITIES)
    3 games from Section 4 (3 POSSIBLITIES)

    6 X 6 X 3 X 3
    The combinations are 324

    Given my rule that if only 1 selection reaches the criterea how does this apply to the possible combinations.
    It seems to make thew game easier to win

    This week for example
    5 games from Section 1 (10 POSSIBLITIES)
    1 games from Section 2 (? POSSIBLITIES)
    1 games from Section 3 (? POSSIBLITIES)
    5 games from Section 4 (10 POSSIBLITIES)

    What is the value of ? for working out the possible combinations
    Last edited by macman; February 3rd 2008 at 11:23 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by macman View Post
    I have a game that requires poeple to make 2 selections from each of 4 sections,with 6 selections per section.And get them all correct having been given a criteria for making successful selections.

    In order for it to be possible to win, the rules of my game state that if a section does not produce the required amount of selections required (i.e 2)then as long as the player has acheived any result that was possible i.e (if there was only 1 selection possible) they would have successfully completed that section.

    I work out that there are 50625 (15x15x15x15) combinations,of doing the game.

    I am trying to build statistics on how difficult the game is to win.

    Lets say on a particular week, 3 selections per section meet the given criterea. thats (3x3x3x3) = 81 possible winning combinations from the 50625.

    The results vary each week with an average of around 81-108 possible combinations these weeks are easy for me to figure out to build my statistics.

    It is obvious to me that if any of a particular sections selections, dont meet my given criterea at all, that the combinations would be something like this
    3x15x15x3 thus greatly increasing the amount of possible wins.

    My question is this, this week 2 of my sections acheived only 1 result(so my above game rule applies, and 2 produced 5 results yet the game was still easy to win a winner was produced even though only 800 lines were played this is not the norm.

    I want to know what the value of the question (?) mark is below in order to work out my statistics.

    10 X ? x ? X 10

    Was it won purely by chance/luck/judgement(the numbers were chosen randomnly)or does only one result in a section greatly increase the possiblitys of winning the game, and if so by what amount i.e whats the value of the question mark in my workings.

    Thanks for reading I hope this makes sense

    I look forward to your replys
    Somehow I suspect that you have no response to this question because no one can understand what the question.

    Try to re-express this in simpler language.

    RonL
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  3. #3
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    any replys ive edited question
    Last edited by macman; February 3rd 2008 at 11:24 PM. Reason: make question clearer
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  4. #4
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