query: Combinatorics with n case
positive_passages.docid: 112374
positive_passages.text: Evaluate $ \binom{n}{0}+\binom{n}{2}+\binom{n}{4}+\cdots+\binom{n}{2k}+\cdots$
negative_passages.docid: 17268
negative_passages.text: Cycles in permutations of a given size
negative_passages.docid: 131863
negative_passages.text: Permutation question on alphabets
negative_passages.docid: 38809
negative_passages.text: In how many ways can the letters of word $PERMUTATIONS$ be arranged if there are always 4 letters between P and S?
negative_passages.docid: 43076
negative_passages.text: Chess tournament combinatorics
negative_passages.docid: 108747
negative_passages.text: A simple permutation question - discrete math
negative_passages.docid: 17580
negative_passages.text: Combinatorics That Looks Similar to Vandermonde's Identity
negative_passages.docid: 70761
negative_passages.text: Number of ways to connect sets of $k$ dots in a perfect $n$-gon
negative_passages.docid: 8149
negative_passages.text: Algorithm to return all combinations of k elements from n
negative_passages.docid: 98313
negative_passages.text: Number of possible permutations of n1 1's, n2 2's, n3 3's, n4 4's such that no two adjacent elements are same?
negative_passages.docid: 88356
negative_passages.text: Number of options to distribute $N$ different balls to $K$ numbered cells
negative_passages.docid: 42062
negative_passages.text: Interpretation of a combinatorial expression
negative_passages.docid: 3786
negative_passages.text: Help finding a combinatorial proof of $k {n \choose k } = n {n - 1 \choose k -1}\;$
negative_passages.docid: 134440
negative_passages.text: An unexpected application of non-trivial combinatorics
negative_passages.docid: 56135
negative_passages.text: Find all permutations with a condition
negative_passages.docid: 58749
negative_passages.text: Choose K items from N in a circle
negative_passages.docid: 25283
negative_passages.text: Intermediate Text in Combinatorics?