Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread
![](https://latex.codecogs.com/png.latex?\bg_white $\noindent What it means is check up values in the third column of various rows of the Pascal triangle and see that the result holds.$)
![](https://latex.codecogs.com/png.latex?\bg_white $\noindent $\Big{(}$Students are expected to know that the Pascal triangle entries are binomial coefficients. See the sites linked below. The first column in any row is better called column $0$ because it corresponds to $k=0$ in a binomial coefficient $\binom{n}{k}$. The top-most row is best called row 0 because it corresponds to $n=0$ for $\binom{n}{k}$. Using these conventions, the entry in row $n$ and column $k$ is $\binom{n}{k}$.$\Big{)}$$)
• Binomial Coefficients in Pascal's Triangle: http://www.mathwords.com/b/binomial_coefficients_pascal.htm
• Pascal's Triangle: http://www.mathwords.com/p/pascal's_triangle.htm .
Bump
"verify the result on the third column of the Pascal triangle." Does anyone have any idea on this? Or is my answer shown above good enough ?
• Binomial Coefficients in Pascal's Triangle: http://www.mathwords.com/b/binomial_coefficients_pascal.htm
• Pascal's Triangle: http://www.mathwords.com/p/pascal's_triangle.htm .