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- ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section. ...88606&sprefix=after+school+maths+%2Caps%2C268&sr=8-2 100 Challenging Maths Problems]24 KB (3,198 words) - 19:44, 4 December 2024
- ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section. ...://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=8 AP Calculus Problems and Solutions Part II AB and BC] -- A fantastic resource for students maste7 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
- ...on the USAMO have considerable experience both solving highly challenging problems and [[writing proofs]]. * [[USAMO Problems and Solutions]]6 KB (874 words) - 22:02, 10 November 2024
- ...and has harder problems, while Division B is for newcomers and has easier problems. The test structure is the same for both divisions. ...ach division participate in the Finals round, and they have to solve three problems in 1 hour.2 KB (295 words) - 22:19, 5 January 2019
- In [[combinatorics]], the '''pigeonhole principle''' states that if <math>n+1</math> or more p == Olympiad Problems ==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
- [[2011 AMC 8 Problems/Problem 6]] [[2017 AMC 10B Problems/Problem 13]]9 KB (1,703 words) - 00:20, 7 December 2024
- ...as a great introductory video to combinations, permutations, and counting problems in general! [https://bit.ly/CombinationsAndPermutations Permutations & Comb * [[Combinatorics]]4 KB (615 words) - 10:43, 21 May 2021
- 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
- ...action or division. The idea of strategic overcounting is fundamental to [[combinatorics]] and plays a role in incredibly important counting tools such as [[combina * [[2004 AIME I Problems/Problem 3|AIME 2004I/3]]4 KB (635 words) - 11:19, 2 January 2022
- In [[combinatorics]], '''constructive counting''' is a [[counting]] technique that involves co ...niques in counting. Familiarity 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 ...emonstrate casework in action. Unlike the selections in this article, most problems cannot be completely solved through casework. However, it is crucial as an5 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 * [[2006 AIME II Problems/Problem 4]]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 ''[[2006 AMC 10A Problems/Problem 21 | 2006 AMC 10A Problem 21]]: How many four-digit positive intege8 KB (1,192 words) - 16:20, 16 June 2023
- ...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 [[2008 AMC 12B Problems/Problem 22]]1,016 bytes (141 words) - 02:39, 29 November 2021
- ==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