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  • == Problem == ...h> can have is <math>(1+2+3+4)=10</math>, and the greatest value is <math>(6+7+8+9)=30</math>. Therefore, <math>(e+f+g+h)</math> must equal <math>11</ma
    2 KB (411 words) - 21:02, 21 December 2020
  • == Problem == f.p=fontsize(6);
    2 KB (262 words) - 21:20, 21 December 2020
  • == Problem == ...h>. Now we have <math>(a+b)+(a-b)=11+1</math>, <math>2a=12</math>, <math>a=6</math>, then <math>b=5</math>, <math>x=65</math>, <math>y=56</math>, <math>
    2 KB (283 words) - 20:02, 24 December 2020
  • == Problem == ...and <math>h</math> be distinct elements in the set <math>\{-7,-5,-3,-2,2,4,6,13\}.</math>
    3 KB (463 words) - 19:28, 6 November 2022
  • == Problem == Our sum is simply <math>2 - 2\cdot\frac{8}{11} = \frac{6}{11}</math>, and thus we can divide by <math>2</math> to obtain <math>\frac
    4 KB (761 words) - 09:10, 1 August 2023
  • == Problem == We approach this problem by counting the number of ways ants can do their desired migration, and the
    10 KB (1,840 words) - 21:35, 7 September 2023
  • == Problem == Applying the Power of a Point Theorem gives <math> 6\cdot x = 4\cdot 1 </math>, so <math> x = \frac 23 </math>
    289 bytes (45 words) - 13:14, 16 July 2017
  • ==Problem 1== [[2006 AMC 10A Problems/Problem 1|Solution]]
    13 KB (2,028 words) - 16:32, 22 March 2022
  • == Problem == <math>b=-6</math>
    2 KB (348 words) - 23:10, 16 December 2021
  • ...k contains the full set of test problems. The rest contain each individual problem and its solution. **[[2008 USAMO Problems/Problem 1]]
    471 bytes (52 words) - 21:46, 12 August 2014
  • == Problem == size(150); pathpen = linewidth(0.6); defaultpen(fontsize(10));
    3 KB (424 words) - 10:14, 17 December 2021
  • == Problem == ...}{6}</math>. The probability of winning is <math>\frac{1}{2}\cdot \frac{1}{6} =\frac{1}{12}</math>. If the game is to be fair, the amount paid, <math>5<
    1 KB (207 words) - 09:39, 25 July 2023
  • == Problem == draw((6,0){up}..{left}(0,6),blue);
    3 KB (532 words) - 17:49, 13 August 2023
  • == Problem == D((2*t,2)--(2*t,4)); D((2*t,5)--(2*t,6));
    5 KB (732 words) - 23:19, 19 September 2023
  • == Problem == So, there are <math>6 - 1 = 5</math> choices for the position of the letters.
    2 KB (254 words) - 14:39, 5 April 2024
  • == Problem == ...5</math> possible values in <math>\bmod{5}</math> and we are picking <math>6</math> numbers, by the [[Pigeonhole Principle]], two of the numbers must be
    1 KB (187 words) - 08:21, 17 March 2023
  • == Problem == ...gements for the non-<math>2</math> or <math>3</math> digits. We have <math>6 \cdot 56</math> = <math>336</math> arrangements for this case. We have <mat
    3 KB (525 words) - 20:25, 30 April 2024
  • == Problem == <math>\textbf{(A) } \frac{1}{8}\qquad\textbf{(B) } \frac{1}{6}\qquad\textbf{(C) } \frac{1}{4}\qquad\textbf{(D) } \frac{1}{3}\qquad\textbf
    2 KB (292 words) - 10:19, 19 December 2021
  • ...tiple indistinct elements, such as the following: <math>\{1,4,5,3,24,4,4,5,6,2\}</math> Such an entity is actually called a multiset. ...describe sets should be used with extreme caution. One way to avoid this problem is as follows: given a property <math>P</math>, choose a known set <math>T<
    11 KB (2,021 words) - 00:00, 17 July 2011
  • ...k contains the full set of test problems. The rest contain each individual problem and its solution. **[[2006 USAMO Problems/Problem 1]]
    467 bytes (51 words) - 09:25, 6 August 2014

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