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  1. ...fit the defining Pascal's Triangle property: C(m,k) + C(m,k-1) = C(m+1,k) [0 < k <= m].  ...

    1 Answers · Science & Mathematics · 09/02/2020

  2. ...integer. Therefore, if we choose k (k > ceiling(k/2)) integers from T then at least two ...y∈S such that a≠b, {a,b}≠{x,y} and b−a=y−x. c. Let S = {s1,s2, ... ,sk} and s1<...

    1 Answers · Science & Mathematics · 09/02/2020

  3. ... (x+n+1)Cn .    We know mCk = (m-1)Ck + (m-1)C(k-1) because  mCk  = m! / [(m-k)!k!]  = (m-1)!*m / [(m-k)!k!]  = (m-1)!*((m-k...

    2 Answers · Science & Mathematics · 08/02/2020

  4. ... 6C2 = 15 ways.    In general, there are (m+k-1)C(k-1) ways. So if n > (m+k-1)C(k-1)  then at least 2 ...

    1 Answers · Science & Mathematics · 06/02/2020

  5. ...(B) - 2 Cov(A,B). c) then you have to relate the given correlation to the covariance...). d) then you have to apply Var(kB) = k^2 Var(B). (variance of a constant times a...

    1 Answers · Science & Mathematics · 23/10/2019

  6. ... , assume that (#1) stands when m = k . That is , "(2^k)C(1), (2^k)C(2), ... , (2^k)C(2^k-1) are all even" ---(#2...

    2 Answers · Science & Mathematics · 03/10/2019

  7. ... desired quantified statement is: (Ax)((C(x) ^ O(x)) => ((Ey)(O(y) ^ H(y) ^ K(x,y)))). #2. (a) (F(a,a) v F(a,b) v F(a,c)) ^ (F(b...

    1 Answers · Science & Mathematics · 20/05/2019

  8. 2.31 = 0.54 x (k^44) k = ~1.0336 C(2000) = 0.54 x (1.0336^56) = $3.44 C(2010) = 0.54 x (1.0336^66) = $4.78

    2 Answers · Science & Mathematics · 30/04/2019

  9. ... or IV, but not IV. C = 2π/5 A + B + C = (3/4 + 7/4 + 2/5)π = (29/10)π = 2.9π k = 2.90 (exactly)

    1 Answers · Science & Mathematics · 28/04/2019

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