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 Sujet: binomial coefficients
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12 articles trouvés pour ce sujet.

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 n choose r equals n-1 choose r plus n-1 choose r - 1 2008-07-14 fae pose la question :Prove that ( n ) = ( n – 1) + ( n - 1 ) ( r )         ( r )        (r-1) NOTE: the ( ) should be one for n taken r and so on. but there is no one big ( ) that will cater two linesJanice Cotcher lui répond. Prove that 2nCn is less than 4n, for all positive integers n? 2006-10-01 Anna pose la question :How can I prove that 2nCn is less than 4n, for all positive integers n?Penny Nom lui répond. What are the 3rd and 4th terms of (2x-y)^7? 2006-06-18 April pose la question :What are the 3rd and 4th terms of this sequence: (2x-y)7? I'm having an issue with this...is there any easier way to get it without completely factoring the whoooole thing out?Penny Nom lui répond. Successive coefficients in Pascal's Triangle 2002-12-27 Quincy pose la question :There is a formula connecting any (k+1) successive coefficients in the nth row of the Pascal Triangle with a coefficient in the (n+k)th row. Find this formulaPenny Nom and Walter Whiteley lui répond. Successive coefficients in the nth row of Pascal's Triangle 2002-06-10 Tim pose la question :There is a formula connecting any (k+1) successive coefficients in the nth row of Pascal's Triangle with a coefficient in the (n+k)th row. find this formula.Penny Nom lui répond. Pascal's Triangle 2002-04-02 Brian pose la question :It's about (a+b)x. I remember there a triangle with numbers to remember for a faster solution. Can you please teach me?Penny Nom lui répond. Lucas' theorem 2001-10-09 Tania pose la question :How could I demonstrate: nCp is congruent to floor(n/p) (modulo p)? where rCk is a binomial coefficient, rCk = r(r-1)...(r-k+1)/k(k-1)...1, and p is a prime number Richard McIntosh lui répond. A dollar, quarter, dime, nickle and penny 2001-01-07 Sarah pose la question :Arnold has a dollar coin, one dime, one quarter, one nickel, and a penny. The number of different sums of money that can be formed using three coins is...Penny Nom lui répond. 6-49 2000-09-14 Steve pose la question :In our state lottery you must choose 6 numbers (1-49). How many different combinations are there? They can be in any order. Harley Weston lui répond. Binomial coefficients 2000-03-21 Howard Lutz pose la question :How do you find each successive numerical term in this equation y+dy=(x+dx)5 =x5+5*x4dx+10*x3(dx)2+10*x^2(dx)3+5*x(dx)4+(dx)5 I would appreciate an explanation of the method to find the numeric coefficient in a binomial expansionPenny Nom lui répond. Multinomial coefficients 1999-12-03 Suraj Das pose la question :Is there a formula for the expansion of (a+b+c) to the nth power? Does it have to do with Pascal's triangle?Penny Nom lui répond. Cannonballs 1999-01-27 Roger King pose la question :How many cannonballs can be stacked in a triangular pyramid?Penny Nom lui répond.

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