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- ...lves any given mystery. The probability that Scooby Doo solves 1800 out of 2006 given mysteries is the same as the probability that he solves 1801 of them. <cmath>\binom{2006}{1800}\cdot p^{1800}(1-p)^{206}=\binom{2006}{1801}\cdot p^{1801} (1-p)^{205}</cmath>1,003 bytes (140 words) - 19:29, 20 May 2012
- <center><math>(x-2006)(x-2004)(x-2002)\cdots (x-4)<0?</math></center> [[2006 Alabama ARML TST Problems/Problem 1 | Solution]]5 KB (769 words) - 19:56, 24 March 2015
- {{ARML box|year=2006|state=Alabama|num-b=3|num-a=5}}1 KB (200 words) - 18:37, 12 April 2012
- <center><math>(x-2006)(x-2004)(x-2002)\cdots (x-4)<0?</math></center> {{ARML box|year=2006|state=Alabama|before=First Question|num-a=2}}508 bytes (72 words) - 09:28, 1 August 2024
- {{ARML box|year=2006|state=Alabama|num-b=5|num-a=7}}862 bytes (139 words) - 11:13, 20 January 2018
- {{ARML box|year=2006|state=Alabama|num-b=12|num-a=14}}1 KB (167 words) - 08:56, 15 December 2018
- {{ARML box|year=2006|state=Alabama|num-b=2|num-a=4}}1 KB (223 words) - 18:43, 12 April 2012
- {{ARML box|year=2006|state=Alabama|num-b=6|num-a=8}}1 KB (237 words) - 22:47, 2 September 2024
- The integer <math>5^{2006}</math> has 1403 digits, and 1 is its first digit (farthest to the left). F ...er <math>5^{2005}</math>), so those must not begin with the digit 1. <math>2006-1402=\boxed{604}</math>673 bytes (96 words) - 21:11, 12 April 2012
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- [[ Cyprus Seniors Team Selection Tests]] problems and solutions by year: *[[2004 Cyprus Seniors TST/Day 1]]2 KB (245 words) - 07:03, 6 September 2017
- [[ Cyprus Juniors Team Selection Tests]] problems and solutions by year: *[[2004 Cyprus Juniors TST/Day 1]]2 KB (245 words) - 07:03, 6 September 2017
- ''This was also Problem 3, Day 2, of the 2006 Australia [[TST]].'' * [[2005 IMO Shortlist Problems]]3 KB (538 words) - 08:12, 29 August 2011
- ''This was also Problem 1 of the 2nd 2006 German TST, and a problem at the 2006 Indian IMO Training Camp.'' * [[2005 IMO Shortlist Problems]]2 KB (271 words) - 08:13, 29 August 2011
- ==Problems== <center>[[2006 Alabama ARML TST Problems/Problem 5|A similar problem]]</center>977 bytes (142 words) - 13:05, 5 July 2013
- ...y answer 8 or more correctly. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[2006 Alabama ARML TST Problems]]1 KB (167 words) - 00:00, 19 June 2018
- <center><math>(x-2006)(x-2004)(x-2002)\cdots (x-4)<0?</math></center> [[2006 Alabama ARML TST Problems/Problem 1 | Solution]]5 KB (769 words) - 19:56, 24 March 2015
- ...ww.oma.org.ar/enunciados/index.htm ''Full Archive of Mathematical Olympiad Problems''] ** Problems w/o Solutions15 KB (1,864 words) - 17:59, 15 February 2025