Play with numbers to achieve 6

Discussion in 'Movies, Music & TV' started by ajsa52, Mar 13, 2008.

  1. #1
    On this game you should use a formula with each set of 3 numbers to achieve 6 as result. Each set can have multiple solutions or only one.
    The allowed operations are:
    - addition: +
    - subtraction: -
    - multiplication: x
    - division: /
    - Parentheses: ( )
    - sqrt() Square root
    - cubr() Cube Root
    - ! Factorial

    The set list of 3 numbers are:
    3 2 1
    4 3 2
    5 4 3
    6 5 4
    7 6 5
    8 7 6
    9 8 7
    1 1 1
    2 2 2
    3 3 3
    4 4 4
    5 5 5
    6 6 6
    7 7 7
    8 8 8
    9 9 9
    1 2 3
    2 3 4
    3 4 5
    4 5 6
    5 6 7
    6 7 8
    7 8 9

    I'm gonna solve the second set as example: 4 3 2
    solution1: 4x3/2=6
    solution2: (4!/3)-2=6
    solution3: (4-3+2)!=6
    solution4: (4!/3!)+2=6
    solution5: (sqrt(4)x3)/2)!=6
    solution6: (sqrt(4+3+2))!=6

    Each set have at least one solution, but
    to allow more players, please solve only one set per post including your name and all sets (solved or not) as follow:

    3 2 1 unsolved
    4 3 2 solved by ajsa52: 4x3/2=6 or (4!/3)-2=6 or (4-3+2)!=6 or (4!/3!)+2=6 or (sqrt(4)x3)/2)!=6 or (sqrt(4+3+2))!=6
    5 4 3 unsolved
    6 5 4 unsolved
    7 6 5 unsolved
    8 7 6 unsolved
    9 8 7 unsolved
    1 1 1 unsolved
    2 2 2 unsolved
    3 3 3 unsolved
    4 4 4 unsolved
    5 5 5 unsolved
    6 6 6 unsolved
    7 7 7 unsolved
    8 8 8 unsolved
    9 9 9 unsolved
    1 2 3 unsolved
    2 3 4 unsolved
    3 4 5 unsolved
    4 5 6 unsolved
    5 6 7 unsolved
    6 7 8 unsolved
    7 8 9 unsolved
     
    ajsa52, Mar 13, 2008 IP
  2. pratik

    pratik Notable Member

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    #2
    3+2+1=6 :)

    this was the toughest.. :)
     
    pratik, Mar 13, 2008 IP
  3. ajsa52

    ajsa52 Well-Known Member

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    #3
    Please, post solutions this way:
    3 2 1 solved by pratik: 3+2+1=6. But there are more solutions for this set
    4 3 2 solved by ajsa52: 4x3/2=6 or (4!/3)-2=6 or (4-3+2)!=6 or (4!/3!)+2=6 or (sqrt(4)x3)/2)!=6 or (sqrt(4+3+2))!=6
    5 4 3 unsolved
    6 5 4 unsolved
    7 6 5 unsolved
    8 7 6 unsolved
    9 8 7 unsolved
    1 1 1 unsolved
    2 2 2 unsolved
    3 3 3 unsolved
    4 4 4 unsolved
    5 5 5 unsolved
    6 6 6 unsolved
    7 7 7 unsolved
    8 8 8 unsolved
    9 9 9 unsolved
    1 2 3 unsolved
    2 3 4 unsolved
    3 4 5 unsolved
    4 5 6 unsolved
    5 6 7 unsolved
    6 7 8 unsolved
    7 8 9 unsolved
     
    ajsa52, Mar 13, 2008 IP
  4. Christian Little

    Christian Little Peon

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    #4
    3 2 1 -> 3 x 2 x 1 = 6
    4 3 2 -> 4 x 3 / 2 = 6
    5 4 3 -> 5 + 4 - 3 - 6
    6 5 4 -> !(5 + 4 - 6) = 6
    7 6 5 -> 7 - 6 + 5 = 6
    8 7 6
    9 8 7
    1 1 1 -> !(1 + 1 + 1) = 6
    2 2 2 -> 2 + 2 + 2 = 6
    3 3 3 -> 3 x 3 - 3 = 6
    4 4 4 -> 4 + 4 - sqrt(4) = 6
    5 5 5 -> (!5 + !5) / 5 = 6
    6 6 6 -> 6 + 6 - 6 = 6
    7 7 7
    8 8 8
    9 9 9 -> (9 + 9) / sqrt(9) = 6
    1 2 3 -> 1 + 2 + 3 = 6
    2 3 4 -> 3 x 4 / 2 = 6
    3 4 5 -> 4 + 5 - 3 = 6
    4 5 6
    5 6 7
    6 7 8
    7 8 9

    I'll do the rest later, outa time :)
     
    Christian Little, Mar 14, 2008 IP
  5. mr.biz

    mr.biz Active Member

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    #5
    Edited: sorry buddy, did not read that you were asking for just 1 set/person.
    I've deleted the other solutions I posted before ;)

    4 5 6 => (4! + 6) / 5 = (24+6)/5 = 30/5 = 6
     
    mr.biz, Mar 14, 2008 IP
  6. Christian Little

    Christian Little Peon

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    #6
    And here's the ones that haven't been answered yet:

    8 7 6 -> (8 - 7) x 6 = 6
    9 8 7 -> sqrt(9 + 7) + cubr(8) = 6
    7 7 7 -> 7 - 7 / 7 = 6
    4 5 6 -> (5 - 4) x 6 = 6
    6 7 8 -> (8 - 7) x 6 = 6
    7 8 9 -> 7 - (sqrt(9) - cubr(8)) = 6
     
    Christian Little, Mar 14, 2008 IP
  7. ajsa52

    ajsa52 Well-Known Member

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    #7
    You can't change order:

     
    ajsa52, Mar 14, 2008 IP
  8. ajsa52

    ajsa52 Well-Known Member

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    #8
    You can't change order:

     
    ajsa52, Mar 14, 2008 IP
  9. Christian Little

    Christian Little Peon

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    #9
    You didn't say that in your original posting :(
     
    Christian Little, Mar 14, 2008 IP
  10. smatts9

    smatts9 Active Member

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    #10
    987
    -sqrt(9) + cuberoott(8) + 7
    -3 + 2 + 7 = 6
     
    smatts9, Mar 14, 2008 IP
  11. smatts9

    smatts9 Active Member

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    #11
    789
    7 + cuberoot(8) - sqroot(9) = 6
     
    smatts9, Mar 14, 2008 IP
  12. ajsa52

    ajsa52 Well-Known Member

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    #12
    The solutions so far:

    3 2 1 Solved by pratik: 3+2+1=6. Solved by Christian Little: 3x2x1=6
    4 3 2 Solved by ajsa52: 4x3/2=6 or (4!/3)-2=6 or (4-3+2)!=6 or (4!/3!)+2=6 or (sqrt(4)x3)/2)!=6 or (sqrt(4+3+2))!=6
    5 4 3 Solved by Christian Little: 5+4-3=6. There are other solutions for this set
    6 5 4 unsolved
    7 6 5 Solved by Christian Little: 7-6+5=6
    8 7 6 Solved by Christian Little: (8-7)x6=6
    9 8 7 unsolved
    1 1 1 Solved by Christian Little. Solution hidden, Please, let others play
    2 2 2 Solved by Christian Little. Solution hidden, Please, let others play
    3 3 3 Solved by Christian Little. Solution hidden, Please, let others play
    4 4 4 Solved by Christian Little. Solution hidden, Please, let others play
    5 5 5 unsolved
    6 6 6 Solved by Christian Little. Solution hidden, Please, let others play
    7 7 7 Solved by Christian Little. Solution hidden, Please, let others play
    8 8 8 unsolved
    9 9 9 Solved by Christian Little. Solution hidden, Please, let others play
    1 2 3 Solved by Christian Little. Solution hidden, Please, let others play
    2 3 4 unsolved
    3 4 5 unsolved
    4 5 6 unsolved
    5 6 7 unsolved
    6 7 8 unsolved
    7 8 9 Solved by smatts9: 7+cuber(8)-sqrt(9)=6
     
    ajsa52, Mar 14, 2008 IP
  13. mr.biz

    mr.biz Active Member

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    #13
    LOL, since it seems I went wrong in my post previous changing order, than I'll play my jolly and solve this simple one:

    8 8 8 => cubr(8) + cubr(8) + cubr(8) = 2+2+2 = 6 :D
     
    mr.biz, Mar 14, 2008 IP
  14. ajsa52

    ajsa52 Well-Known Member

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    #14
    Wrong, you're using the unary operator - at the beginning and is not allowed. The subtraction operator - requires two operands.
     
    ajsa52, Mar 14, 2008 IP
  15. ajsa52

    ajsa52 Well-Known Member

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    #15
    Solutions updated:

    3 2 1 Solved by pratik: 3+2+1=6. Solved by Christian Little: 3x2x1=6
    4 3 2 Solved by ajsa52: 4x3/2=6 or (4!/3)-2=6 or (4-3+2)!=6 or (4!/3!)+2=6 or (sqrt(4)x3)/2)!=6 or (sqrt(4+3+2))!=6
    5 4 3 Solved by Christian Little: 5+4-3=6. There are other solutions for this set
    6 5 4 unsolved
    7 6 5 Solved by Christian Little: 7-6+5=6
    8 7 6 Solved by Christian Little: (8-7)x6=6
    9 8 7 unsolved
    1 1 1 Solved by Christian Little. Solution hidden, Please, let others play
    2 2 2 Solved by Christian Little. Solution hidden, Please, let others play
    3 3 3 Solved by Christian Little. Solution hidden, Please, let others play
    4 4 4 Solved by Christian Little. Solution hidden, Please, let others play
    5 5 5 unsolved
    6 6 6 Solved by Christian Little. Solution hidden, Please, let others play
    7 7 7 Solved by Christian Little. Solution hidden, Please, let others play
    8 8 8 Solved by mr.biz: cubr(8)+cubr(8)+cubr(8)=6
    9 9 9 Solved by Christian Little. Solution hidden, Please, let others play
    1 2 3 Solved by Christian Little. Solution hidden, Please, let others play
    2 3 4 unsolved
    3 4 5 unsolved
    4 5 6 unsolved
    5 6 7 unsolved
    6 7 8 unsolved
    7 8 9 Solved by smatts9: 7+cuber(8)-sqrt(9)=6

    Ok. Now allowed up to 3 set solved per user.
     
    ajsa52, Mar 14, 2008 IP
  16. mr.biz

    mr.biz Active Member

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    #16
    Cool:

    So

    5 6 7 => 5-6+7 = 6 :D
     
    mr.biz, Mar 14, 2008 IP
  17. ajsa52

    ajsa52 Well-Known Member

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    #17
    Wrong: 5! = 5x4x3x2x1 = 120 so (5!+5!)/5 = (120+120)/5 = 48
     
    ajsa52, Mar 17, 2008 IP