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- ...lines <math>DE</math> and <math>FG</math> are either parallel or they are the same line. ...numbers immediately below it. For example, the following is an anti-Pascal triangle with four rows which contains every integer from <math>1</math> to <math>103 KB (544 words) - 08:34, 27 May 2023
- ...numbers immediately below it. For example, the following is an anti-Pascal triangle with four rows which contains every integer from <math>1</math> to <math>10 Does there exist an anti-Pascal triangle with <math>2018</math> rows which contains every integer from <math>1</math4 KB (626 words) - 01:45, 19 November 2023
- Consider the Harmonic Table ...emainder when the sum of the reciprocals of the <math>2007</math> terms on the <math>2007^\text{th}</math> row gets divided by <math>2008</math>.3 KB (527 words) - 01:29, 2 November 2023
- Feeling excited over her successful explorations into Pascal's Triangle, Wendy formulates a second problem to use during a future Jupiter Falls Hig ''How many of the first 2010 rows of Pascal's Triangle (Rows 0 through 2009) have exactly 256 odd entries?''2 KB (234 words) - 15:09, 1 August 2021
- Here is the formula for a choose b: <math>\binom{a}{b}=\frac{a!}{b!(a-b)!}</math>. This a choose b counts the number of ways you can pick b things from a set of a things. For example <m3 KB (407 words) - 20:03, 25 July 2021
- = Pascal's Identity = Pascal's Identity states that9 KB (1,531 words) - 15:22, 17 June 2019
- = Pascal's Identity = Pascal's Identity states that15 KB (2,425 words) - 09:25, 13 February 2020
- ...icle is not finished. Everyone is welcomed to edit, BUT ONLY IN GOOD WAYS! The AoPS Secret Governemtn has a backup of this page. = What is the definition of Pure Mathematics? =35 KB (5,882 words) - 18:08, 28 June 2021
- What is the leftmost digit of the product <cmath>\underbrace{161616 \cdots 16}_{100 \text{ digits }} \times \ We conclude that the leftmost digit must be <math>\boxed{4}</math>.2 KB (209 words) - 17:25, 11 July 2021
- ...number of elements in the first <math>64</math> rows of Pascal's Triangle that are divisible by <math>4</math>. ...d\mathrm{(H)}\,1134\quad\mathrm{(I)}\,1256\quad\mathrm{(J)}\,\text{none of the above}</math>4 KB (612 words) - 23:33, 3 November 2023
- ...ersection of <math>AE</math> and <math>(ABCD)</math> and <math>H</math> be the intersection of <math>DF</math> and <math>(ABCD)</math>. By Pascal's on <math>GDCBAH</math>, we see that the intersection of <math>GH</math> and <math>BC</math>, <math>E</math>, and <m6 KB (1,131 words) - 19:15, 6 October 2023
- ...wo distinct points <math>D</math> and <math>F</math>. If <math>E</math> is the intersection of lines <math>DF</math> and <math>BC</math>, prove that <math ...verline{II_A}</math> and <math>\overline{BC}</math> is <math>P</math>, and the intersection of lines <math>\overline{I_BI_C}</math> and <math>\overline{BC14 KB (2,600 words) - 23:37, 10 March 2024
- ...e previous row. What is the units digits of the sum of the 2023 numbers in the 2023rd row? First, let <math>R(n)</math> be the sum of the <math>n</math>th row. Now, with some observation and math instinct, we can9 KB (1,414 words) - 09:11, 22 February 2024
- I try to put them in the order of how much technique & technical points there are in them Enough talking. Let's get into the pictures.32 KB (4,110 words) - 20:58, 10 April 2024
- The older edits (2019-2022): [[2020 AIME II Problems/Problem 13]] Solution 8 (The same circle)10 KB (1,116 words) - 12:37, 11 June 2024
- ...h school students. It consists of two rounds – correspondence and final. The correspondence round lasts 3 months. ...d and the serial number of the problem. Solutions are often different from the original ones.29 KB (4,997 words) - 18:06, 16 May 2024
