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Math Help - Mathematical Expressions

  1. #1
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    Mathematical Expressions

    When writing a math expression, any time there is an open bracket "(", it is eventually followed by a closed bracket ")". When we have a complicated expression, there may be several brackets nested amongst each other, such as in the expression (x+1)((x2)+3(x4)(x^2+7(3x+4))). If we removed all the symbols other than the brackers from the expression, we would be left with the arrangement ()(()()(())). For any arrangement of brackets, it could have come from a valid mathematical expression if and only if for every place in the sequence, the number of open brackets before that place is at least as large as the number of closed brackets. If 34 open brackets and 34 closed brackets are randomly arranged, the probability that the resulting arrangement could have come from a valid mathematical expression can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?
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  2. #2
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    Re: Mathematical Expressions

    answer is 1/7 so a+b is 8 but please dont post brilliant problems here it is cheating...
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  3. #3
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    Re: Mathematical Expressions

    Man 8 is incorrect. I too had posted 8 only....
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  4. #4
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    Re: Mathematical Expressions

    Dear Moderator, Please help me analyze the Kazakh website.

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  5. #5
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    Re: Mathematical Expressions

    In algebra the inputs and outputs should be in symbolic format and it should do the operations of add, multiply, subtract, and divide algebraically. Now one can have his own tool that does algebraic long division for him. It also should do factorization and finds roots In addition to algebraic differentiation and integration....AV media carts
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