Recent content by mitjak

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    Help Needed: Proving T(n,m) ≤ (n+m-1 choose n-1) with Induction

    CSC236? :) Why if you look at the sum of m+n? See how it changes for T(n-1,m) and T(n,m-1)
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    Probability of Getting 12 Correct Answers in a Random True False Exam

    And I meant it more as a joke that I felt stupid. Which is not at all abnormal :-p.
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    Probability of Getting 12 Correct Answers in a Random True False Exam

    So, you mean: \frac{ \binom{10}{7} }{ \binom{15}{7} } But I don't fully understand why that works :). It almost seems like we're not using the fact that 10/15 answers are false. Does this work because the answers are only true and false, so we only care about either one, with the other...
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    Probability of Getting 12 Correct Answers in a Random True False Exam

    Reposting this from the stats forum as I didn't realize it wasn't the correct to post at. I've been struggling with this problem for two days. It is out of the Concepts in Probability and Stochastic Modelling textbook (1.4-13), and it goes like this: The problem appears in one of the...
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    Line perpendicular to given passing through point

    I've used the dot product and Pythagorean theorem to confirm my answers, as well as Mac OS' Grapher to visualize them, and the answers seem correct, but I'm still curious how you would solve this using planes. Somehow planes seem more elegant. Call me a geek if you want but I'd like to...
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    Line perpendicular to given passing through point

    Line perpendicular to given line passing through a point Homework Statement What is the vector equation of a line passing through P(1,2,3) which is perpendicular to the line L1 : (x-4)/4 = (y-5)/5 = (z-6)/6 Homework Equations Dot product Projections Planes, perhaps? The Attempt...