Recent content by wittysoup

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    MHB Algebra/Physics problem - kinematics

    Re: Algebra/Physics problem I think the OP meant the kinematic equations, 4 basic ones meaning: 1) x=x0+V0t+1/2at2 2) V=V0+at 3) a=constant 4) V2=V02+2a(x-x0) If this is the case, the answer is a matter of determining starting values. We can assume that the plane starts off at point 0 on...
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    MHB Combinatorics question involving 6 6-sided dice

    how did you get these fractions "[FONT=MathJax_Main]5[FONT=MathJax_Main]⋅[FONT=MathJax_Main]4[FONT=MathJax_Main]⋅[FONT=MathJax_Main]3[FONT=MathJax_Main]1[FONT=MathJax_Main]⋅[FONT=MathJax_Main]2[FONT=MathJax_Main]⋅[FONT=MathJax_Main]3" and...
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    MHB Combinatorics question involving 6 6-sided dice

    Okay, so assuming order is not important, we'll have 150 total possible combinations of dice containing exactly 4 of the 6 total numbers?
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    MHB Combinatorics question involving 6 6-sided dice

    each dice is different here it seems from the question.. so 1 1 1 2 3 4 is different than 1 2 1 1 3 4.
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    MHB Combinatorics question involving 6 6-sided dice

    When rolling 6 6-sided dice, how many different ways can you have exactly 4 different numbers? I tried solving this like so, the first dice has a possible 6 numbers, the second has a possible 5, the third has a possible 4, and the fourth, 3. Then there are 2 remaining dice of which each has...
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    MHB How Do You Prove the Formula for n Choose k?

    Thanks for that, it seems like I miscalculated the first result... I am now stuck here, being that I do not know how to simplify this ( I actually worked out further on paper trying to get a common denominator)...
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    MHB How Do You Prove the Formula for n Choose k?

    Hello all, I need a little help with how to go about proving the following: the formula for n choose k is n!/(k!(n-k)!) For this, I have proceeded as follows: Base case P(j): I am not sure if this is correct... but the next step would be to Assume P(k), I get stuck at that step because...
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