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I am creating a game that player randomly draws 25 elements from 0-9 and 4 basic operations +-x/ from the sandbox .e.g. {0,1,4,4,5,5,5,+,-,*,/ ....... } , what require to do is based on that 25 elements form as many equations as you can. for example if there is two 1s and one 2, and one + in your set, you can form 1 + 1 = 2. and they can do 1+1=1+1 if there are four 1s two + .

now my question is what I should care about the proportion of the number and the operators in the sandbox ? in order to make sure the player with that 25 elements they can form certain amount of equations ?

also, is there any unfavourable condition happen ? for example if i give the player with 25 piece with one * and two 0 , i can form use all equation with all number, 123*0=0 342*0=0 , in this case player not allow form equation like that.

thanks for your input if any help.

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In your first example, to you want to rule out 1 = 1; 2 = 2? Note also that 1+1 = 1+1 involves four "1's"...be sure to make the goals, rules, and restrictions well-defined. Perhaps start with a smaller model (in terms of number of elements drawn?), at least in terms of creating the structure (number of players, goals, rules, restrictions, what defines a "win", etc) –  amWhy Jan 11 '13 at 0:35
    
good remind, i will rule out everything from left hand side exactly same as right hand side. like 1+1 = 1+1, you right, i dont want to them do so. thanks for remind and also without operator in the equation is not allowed. –  justicepenny Jan 11 '13 at 0:54

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