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Math. competition, (Posted on 2012-03-21) Difficulty: 4 of 5
In a mathematical competition, in which 6 problems were posed to the participants, every two of these problems were solved by more than 2/5 of the contestants.
Moreover, no contestant solved all the 6 problems.
Show that there are at least 2 contestants who solved exactly 5 problems each.

source: IMO 2005

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.7500 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: .Ellie Kim2024-03-18 10:17:58
.Bradley Bauer2024-01-25 04:08:42
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No SubjectBradley Bauer2024-01-25 03:25:57
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extixBradley Bauer2024-01-25 02:31:37
No SubjectBradley Bauer2024-01-25 02:03:25
No SubjectCassandra Michael2023-10-13 02:29:39
.Wilma Carr2023-10-09 12:37:20
.Wilma Carr2023-10-08 05:35:14
No SubjectCassandra Michael2023-10-07 03:54:46
No SubjectCassandra Michael2023-10-04 04:59:16
No SubjectCassandra Michael2023-10-04 02:12:20
.Cassandra Michael2023-10-02 03:11:55
.Cassandra Michael2023-10-02 02:12:35
.Cassandra Michael2023-09-30 02:42:41
No SubjectCassandra Michael2023-09-28 05:32:55
No SubjectCassandra Michael2023-09-27 01:07:16
.....Cassandra Michael2023-09-27 00:21:29
No SubjectCassandra Michael2023-09-20 01:18:51
..Cassandra Michael2023-09-18 07:30:14
..Cassandra Michael2023-09-18 01:26:33
...............Cassandra Michael2023-09-18 00:19:44
...............Cassandra Michael2023-09-16 00:58:55
.Cassandra Michael2023-09-14 00:49:08
...............Cassandra Michael2023-09-12 00:56:31
..Cassandra Michael2023-09-11 01:05:54
..Cassandra Michael2023-09-11 00:11:07
...Cassandra Michael2023-09-09 00:14:13
..Cassandra Michael2023-09-08 00:04:41
...............Cassandra Michael2023-09-07 01:22:09
...........Cassandra Michael2023-09-07 00:32:04
.......................Cassandra Michael2023-09-05 02:00:29
...............Cassandra Michael2023-09-04 03:38:10
..................Cassandra Michael2023-09-01 00:41:59
...............................Cassandra Michael2023-08-31 02:07:44
...............Cassandra Michael2023-08-30 03:00:51
...............Cassandra Michael2023-08-29 02:08:42
....Cassandra Michael2023-08-29 00:45:51
.......Cassandra Michael2023-08-16 03:34:17
...............Cassandra Michael2023-08-12 01:53:00
Puzzle Thoughts K Sengupta2023-08-11 22:51:42
..Wilma Carr2023-08-11 10:16:54
............Wilma Carr2023-07-31 08:55:23
.Bradley Bauer2023-07-26 03:12:58
.Wilma Carr2023-07-15 12:19:13
......Brennan Hodges2023-06-23 03:13:47
Magical tipsCodyDunning2023-06-10 05:59:16
..............Thor Beck2023-06-02 09:00:45
Latex BDSMThor Beck2023-05-28 06:03:40
aaThor Beck2023-05-28 03:03:48
..........Thor Beck2023-05-23 11:04:35
.......Thor Beck2023-05-13 10:31:17
....Thor Beck2023-05-13 10:21:40
.Avram Hensley2023-04-18 03:52:24
.Avram Hensley2023-03-01 05:59:20
Beagle breedersCarla Jefferson2023-02-17 09:19:28
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Pallet of Bottled WaterFaithKabanda2023-02-09 07:20:59
Online ShoppingAdam Smith2023-01-27 04:03:12
help writing profile for dating siteCameron Christian2023-01-15 06:42:23
For Fifa FansJeff Ransom2022-11-27 07:22:45
Best Digital Marketing BooksLora2022-11-23 17:44:19
PeterPeter Bately2022-11-23 00:09:57
RankquJohn2022-10-06 12:22:13
good oneMari Bartlett2022-10-06 09:10:08
No SubjectLora2022-09-05 00:38:48
sdaJooke2022-08-24 13:43:46
MGSONLINEStore UK2022-08-17 15:09:45
cbd tincturesTallulah Vance2022-08-04 05:49:10
divorce lawyers barrieKristen Hinton2022-06-25 03:27:18
fitclinicKristen Hinton2022-06-25 03:04:19
aussiekiwitoursKristen Hinton2022-06-25 02:44:58
SAP HANA Kristen Hinton2022-06-25 02:35:46
party busKristen Hinton2022-06-25 02:30:55
tamborine toursKristen Hinton2022-06-25 02:25:28
www.cooeecoachcharters.com/Kristen Hinton2022-06-25 02:13:40
home Kristen Hinton2022-06-25 02:08:39
sadiastiffinserviceKristen Hinton2022-06-25 02:00:16
anaklegal.comKristen Hinton2022-06-25 01:54:25
toptradeautoKristen Hinton2022-06-25 01:48:46
insuranceKristen Hinton2022-06-25 01:38:29
SoftwareKristen Hinton2022-06-25 01:24:24
invisalign braces before and afterKristen Hinton2022-06-25 01:16:07
business visa in uaeKristen Hinton2022-06-25 01:07:37
Same Day CrownsKristen Hinton2022-06-25 00:56:17
lemon aioli recipeKristen Hinton2022-06-25 00:44:36
lemon aioli recipeKristen Hinton2022-06-25 00:43:49
No SubjectKate Copeland2022-06-21 06:28:39
No SubjectKate Copeland2022-06-21 03:50:27
No SubjectMitche Nettl2022-06-20 03:27:30
No Subjectscsc dvhhn2022-06-06 02:20:03
eduBrennan Odom2022-05-21 02:03:08
Some Thoughtsre: Still not there (4/5 solution?)Dej Mar2012-03-23 15:42:31
Some ThoughtsStill not there (4/5 solution?)Steve Herman2012-03-23 08:49:55
Some ThoughtsExactly 2/5Steve Herman2012-03-21 20:22:59
Hints/Tipsre(3): Is there an error of ways?Ady TZIDON2012-03-21 19:23:15
re(2): Is there an error of ways?Steve Herman2012-03-21 19:15:09
Hints/Tipsre: Is there an error of ways?Ady TZIDON2012-03-21 17:17:55
QuestionIs there an error of ways?Dej Mar2012-03-21 14:35:26
The error of my waysSteve Herman2012-03-21 11:12:53
Some ThoughtsA start (spoiler?)Steve Herman2012-03-21 10:39:26
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