query: How to solve Frog-stair problem with combinatorics instead of recursion?
positive_passages.docid: 27263
positive_passages.text: How many ways can $b$ balls be distributed in $c$ containers with no more than $n$ balls in any given container?
negative_passages.docid: 19776
negative_passages.text: Simplify a combinatorial sum
negative_passages.docid: 60747
negative_passages.text: Recurrence relation using substitution method
negative_passages.docid: 101642
negative_passages.text: Counting in a rectangular grid with obstacles
negative_passages.docid: 49912
negative_passages.text: Generating ordered combination of numbers
negative_passages.docid: 107964
negative_passages.text: Simple combinatorics problem.
negative_passages.docid: 58103
negative_passages.text: number of permutations in which no two consecutive numbers are adjacent
negative_passages.docid: 54880
negative_passages.text: algorithm that will take numbers or words and find all possible combinations
negative_passages.docid: 70460
negative_passages.text: How can I solve the following sequence
negative_passages.docid: 5801
negative_passages.text: Combinatorial proof help
negative_passages.docid: 95355
negative_passages.text: How many distinct ways to climb stairs in 1 or 2 steps at a time? (Fibonacci puzzle)
negative_passages.docid: 69748
negative_passages.text: Semi-Ambiguous Combinatorics Problem
negative_passages.docid: 114228
negative_passages.text: Find the number of solutions to $ \lfloor x \rfloor + \lfloor 2x \rfloor + \lfloor 4x \rfloor + \ldots + \lfloor 32x \rfloor =12345$
negative_passages.docid: 8817
negative_passages.text: Closed form recurrence formula for getting N consecutive heads on a coin
negative_passages.docid: 116405
negative_passages.text: Recurrence relation for right-angled triangles stuck-together
negative_passages.docid: 93748
negative_passages.text: Alternative to Subsets to generate k-combinations
negative_passages.docid: 36478
negative_passages.text: How can I solve this problem without having to do it by hand?