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- * Intermediate is recommended for students who can expect to pass the AMC 10/12. ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section.24 KB (3,198 words) - 19:44, 4 December 2024
- * Intermediate is recommended for students grades 9 to 12. ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section.7 KB (901 words) - 13:11, 6 January 2022
- ...correct answers receive one point of credit, making the maximum score 15. Problems generally increase in difficulty as the exam progresses - the first few que ...ber theory]], and [[probability]] and other secondary school math topics. Problems usually require either very creative use of secondary school curriculum, or8 KB (1,067 words) - 19:15, 24 October 2024
- In [[combinatorics]], the '''pigeonhole principle''' states that if <math>n+1</math> or more p == Intermediate Examples ==11 KB (1,986 words) - 18:13, 19 June 2024
- ...lving the [[Rubiks cube]]. Mathematicians who spend their careers studying combinatorics are known as ''combinatorialists''. ...the [[Principle of Inclusion-Exclusion|principle of inclusion-exclusion]]. Combinatorics also has many applications outside of pure mathematics, notably in [[theore1 KB (208 words) - 01:12, 4 October 2020
- The '''factorial''' is an important function in [[combinatorics]] and [[analysis]], used to determine the number of ways to arrange objects ==Problems==10 KB (809 words) - 15:40, 17 March 2024
- In contest problems, Fermat's Little Theorem is often used in conjunction with the [[Chinese Re === Proof 3 (Combinatorics) ===16 KB (2,660 words) - 22:42, 28 August 2024
- ...an understanding of the differences between different kinds of probability problems. * [[combinatorial probability]] problems involve counting outcomes.4 KB (590 words) - 10:52, 28 September 2024
- ...ptible to induction solutions, but that's not to say that there aren't any problems in other areas, such as [[Inequalities]], that can be solved with induction ...eful in any level of mathematics that has an emphasis on proof. Induction problems can be found anywhere from the Power Round of the [[American Regions Math L5 KB (768 words) - 23:59, 28 September 2024
- In [[combinatorics]], '''constructive counting''' is a [[counting]] technique that involves co ...ty with constructive counting is essential in combinatorics, especially in intermediate competitions.12 KB (1,898 words) - 07:42, 19 August 2024
- In [[combinatorics]], '''casework''' is a [[counting]] method that involves splitting a proble ...cannot be completely solved through casework. However, it is crucial as an intermediate step across all of mathematics, not just in competitions.5 KB (709 words) - 16:40, 24 September 2024
- ...a variety of contexts. In particular, bijections are frequently used in [[combinatorics]] in order to count the elements of a set whose size is unknown. Bijection === Intermediate ===2 KB (289 words) - 16:17, 13 February 2009
- ...don't want, then subtracts that from the total number of possibilities. In problems that involve complex or tedious [[casework]], complementary counting is oft ...asework. Unlike complementary counting, though, it sees frequent use as an intermediate step, primarily because computing complements is much easier in probability8 KB (1,192 words) - 16:20, 16 June 2023
- ==Problems== ...uad \mathrm{(E) \ 9 } </math><div style="text-align:right">([[2000 AMC 12 Problems/Problem 4|2000 AMC 12, Problem 4]])</div>7 KB (1,111 words) - 13:57, 24 June 2024
- [[Category:Intermediate Combinatorics Problems]]3 KB (436 words) - 04:40, 4 November 2022
- [[Category:Intermediate Combinatorics Problems]] [[Category:Intermediate Number Theory Problems]]2 KB (237 words) - 18:14, 20 November 2023
- [[Category:Intermediate Combinatorics Problems]] [[Category:Intermediate Number Theory Problems]]2 KB (353 words) - 21:56, 27 September 2024
- [[Category:Intermediate Combinatorics Problems]]1 KB (189 words) - 19:05, 4 July 2013
- * [[2006 AMC 12A Problems]] [[Category:Intermediate Combinatorics Problems]]9 KB (1,409 words) - 02:59, 8 December 2024
- [[Category:Intermediate Combinatorics Problems]]10 KB (1,840 words) - 14:01, 4 July 2024