query: Finding maximum value of ${n \choose r}$ for given value of n
positive_passages.docid: 8617
positive_passages.text: How do you prove ${n \choose k}$ is maximum when $k$ is $ \lceil \tfrac n2 \rceil$ or $ \lfloor \tfrac n2\rfloor $?
negative_passages.docid: 24091
negative_passages.text: How many ways can $r$ nonconsecutive integers be chosen from the first $n$ integers?
negative_passages.docid: 1094
negative_passages.text: Expected Value of the maximum of two exponentially distributed random variables
negative_passages.docid: 123955
negative_passages.text: How to compute $\sum\limits_{k=0}^n (-1)^k{2n-k\choose k}$?
negative_passages.docid: 6190
negative_passages.text: Maximum/minimum of two random variables is a random variable
negative_passages.docid: 57644
negative_passages.text: Lower bounds for ${{2n} \choose {n}}$
negative_passages.docid: 106827
negative_passages.text: Proof for two sequences producing the maximum value when sorted
negative_passages.docid: 86902
negative_passages.text: Consider the smallest number in each of the $n\choose r$ subsets (of size $r$) of $S=\{1,2,\ldots,n\}$...
negative_passages.docid: 148567
negative_passages.text: Given $a,b$, what is the maximum number which can not be formed using $na + mb$?
negative_passages.docid: 116647
negative_passages.text: The number of different ways to choose $k$ out of $n$ unique items
negative_passages.docid: 85955
negative_passages.text: Expected value of maximum of two random variables from uniform distribution
negative_passages.docid: 85463
negative_passages.text: Minimum value selection
negative_passages.docid: 106316
negative_passages.text: Finding a bound on the maximum of the absolute value of normal random variables
negative_passages.docid: 17751
negative_passages.text: Find the greatest value of $\arg z$ achieved on a circle in $\mathbb{C}$
negative_passages.docid: 8717
negative_passages.text: Table - find index of the maximum element
negative_passages.docid: 2708
negative_passages.text: Inequality ${n \choose k} \leq \left(\frac{en}{ k}\right)^k$
negative_passages.docid: 53596
negative_passages.text: Find the maximum value of $72\int\limits_{0}^{y}\sqrt{x^4+(y-y^2)^2}dx$