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Number Of Combinations For This Unusual Game?

Topic closed. 2 replies. Last post 5 years ago by Scratch.

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Eugene, Oregon
United States
Member #127419
April 30, 2012
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Posted: April 30, 2012, 11:23 pm - IP Logged

The game is for the State of Oregon and is called Lucky Lines.

It consists of a grid like Tic Tac Toe, the center square is free and can be used for the diagonal lines, the center vertical, and the center horizontal rows and columns.

Each square has 4 possible numbers for a total of 32 used in the game. Each draw will choose one number in each of the 8 squares for a total of 8 drawn numbers. First square is 1-4. second 5-8 and so on and so forth through the 32 numbers.

I want to play a combination of tickets, some of these squares will have 3 of the 4 numbers in play, some 2 numbers and a couple just one number.

I'm pulling my hair out trying to figure out how many different tickets I will have to play to use all of these different combinations.

As an example: 2 numbers square 1

                         2 numbers square 2

                         2 numbers square 3

                         3 numbers square 4

                         Square 5 is the FREE square

                         1 number square 6

                         3 numbers square 7

                         1 number square 8

                         2 numbers square 9

How would I go about figuring the total number of tickets that I will need to play?

 

Thanks in advance all!

Mark

    RL-RANDOMLOGIC's avatar - usafce

    United States
    Member #59354
    March 13, 2008
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    Posted: May 1, 2012, 1:17 am - IP Logged

    Scratch

    Assuming that you play 8 numbers on a ticket then just multiply.

    Example.

    2x2x2x3x1x3x1x2=144

    RL

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      Eugene, Oregon
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      April 30, 2012
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      Posted: May 1, 2012, 12:46 pm - IP Logged

      RL,

      Thank you!

      Can't get any simpler than that. And with the way I was figuring it I was only off by half :-(.

      Again, thank you very much!

      Mark