https://cienciaprogramada.com/tags/combinations/ Recent content in combinations on Ciência Programada Hugo -- gohugo.io en contato[@]cienciaprogramada.com.br (Francisco Bustamante) contato[@]cienciaprogramada.com.br (Francisco Bustamante) © 2026 Francisco Bustamante Tue, 21 Jul 2026 00:00:00 +0000 https://cienciaprogramada.com/2026/07/combinations-with-repetition/ Tue, 21 Jul 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/07/combinations-with-repetition/ At an ice cream shop with 7 flavors, there are 210 ways to order 4 scoops, repeating flavors allowed. We get there with the stars and bars method, which shows that choosing with repetition, distributing balls into boxes, and solving integer equations are the same problem. https://cienciaprogramada.com/2026/07/combinations/ Thu, 09 Jul 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/07/combinations/ Out of 10 friends, 3 go buy the popcorn. Only who goes matters, not the order of the choice, so there are 120 possible groups. We will see the combination formula, its symmetry, the complement method, and how to split a set into groups.