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• 2003 AMC 10B Problems/Problem 15
  ...atch continues until only one player remains unbeaten. The total number of matches played is ...The rest of the information is irrelevant. Therefore, the total number of matches is <math> \text{divisible by 11}, \boxed{\text{E}} </math>.
  2 KB (267 words) - 23:23, 7 September 2023
• 2009 PUMaC Problems
  ...After some matches have been played, it is known that the total number of matches that have been played among any <math>n-2</math> people is equal to <math>3 ...After some matches have been played, it is known that the total number of matches that have been played among any <math>n-2</math> people is equal to <math>3
  25 KB (4,154 words) - 16:27, 2 September 2011
• 2012 AMC 10B Problems/Problem 15
  ...tself, which cannot happen. The chart says that Team 6 has lost all of its matches, which means that each of the other teams won against it. Then, alternating Note that the total number of matches is 15, and if 4 teams tie for the most wins then they can tie for 3 wins ea
  2 KB (307 words) - 20:04, 13 July 2021
• 2012 AIME I Problems/Problem 3
  ...math>\text{BBCCCFFF}</math> to orders <math>\text{BBCCCFFF}</math> with no matches. The two people who ordered <math>B</math>'s can either both get <math>C</m
  3 KB (572 words) - 18:56, 13 June 2023
• 1989 AHSME Problems/Problem 5
  ...e 21 horizontal lines made of 10 matches, and 11 vertical lines made of 20 matches, and <math>21\cdot10+11\cdot20=\boxed{430}</math>.
  2 KB (295 words) - 07:43, 22 October 2014
• 2013 AMC 10B Problems/Problem 25
  Trivially no solutions except <math>(a, b) = (0, 0)</math>, which matches the solution in Case 1, which makes this an overcount.
  10 KB (1,623 words) - 15:44, 31 August 2022
• CSS: Pseudo-class and Pseudo-element
  ===:matches()=== The :matches(foo,bar) pseudo-class selects all elements that are selected by the selecto
  15 KB (2,197 words) - 22:49, 24 July 2023
• 1978 AHSME Problems
  ...ties and the ratio of the number of matches won by women to the number of matches won by men is <math>7/5</math>, then <math>n</math> equals
  15 KB (2,432 words) - 01:06, 22 February 2024
• UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1
  This matches the expression we need to solve for, so we are done. <math>\boxed{14}</math
  1 KB (242 words) - 23:44, 3 August 2020
• 2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1
  This matches the expression we need to solve for, so we are done. <math>\boxed{14}</math
  1 KB (211 words) - 11:55, 4 August 2020
• 2015 AIME I Problems/Problem 5
  Let the fifth sock be arbitrary; the probability that the sixth sock matches in color is <math>\dfrac{1}{9}</math>. ...rd and fourth sock. But that is simple casework. If the third sock's color matches the color of one of the first two socks (which occurs with probability <mat
  5 KB (760 words) - 23:33, 23 January 2024
• 2016 AIME I Problems/Problem 11
  .../math> for all positive integers <math>n\ge2</math>. This cubic polynomial matches the values <math>P(n+1)</math> for infinitely many numbers, hence the two p
  8 KB (1,415 words) - 14:00, 22 December 2021
• 1964 AHSME Problems/Problem 25
  ...term by selectively multiplying leads to <math>4x + -3x = x</math>, which matches, so this is a real factorization.
  3 KB (515 words) - 21:35, 24 July 2019
• 1976 AHSME Problems/Problem 20
  ...r <math>b = a^2</math> or <math>b = \sqrt[3] {a^2}</math>. Since no option matches both of these solutions, the answer is <math>\boxed{\textbf{(E)}}</math>.
  1 KB (241 words) - 04:43, 27 November 2021
• 2017 AIME II Problems
  ...T_i</math> wins is <math>\frac{i}{i+j}</math>, and the outcomes of all the matches are independent. The probability that <math>T_4</math> will be the champion
  7 KB (1,200 words) - 15:02, 8 September 2020
• 2017 AIME II Problems/Problem 2
  ...T_i</math> wins is <math>\frac{i}{i+j}</math>, and the outcomes of all the matches are independent. The probability that <math>T_4</math> will be the champion
  2 KB (358 words) - 18:57, 24 March 2017
• 2018 AMC 10A Problems/Problem 21
  ...it parabola at the vertex is <math>2</math>, the radius of the circle that matches it has a radius of <math>\frac{1}{2}</math>. This circle is tangent to an i
  9 KB (1,502 words) - 23:31, 19 August 2023
• 2018 AMC 10B Problems/Problem 9
  However, we need to find the number that matches up with <math>10</math>. So, we can stop at <math>(10, 39)</math> and deduc
  5 KB (835 words) - 13:48, 16 February 2024
• 2000 JBMO Problems
  ...layed every other player. The boys won <math>\frac 75</math> times as many matches as the girls. It is knowns that there were no draws. Find <math>n</math>.
  1 KB (201 words) - 19:35, 18 August 2018
• 2000 JBMO Problems/Problem 4
  ...layed every other player. The boys won <math>\frac 75</math> times as many matches as the girls. It is knowns that there were no draws. Find <math>n</math>. ...rac{3n(3n-1)}{2}.</math> Since the boys won <math>\tfrac75</math> as many matches as the girls, the boys won <math>\tfrac{7}{12}</math> of all the games play
  2 KB (328 words) - 15:50, 19 August 2018

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