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Prove or disprove (Posted on 2016-02-11) Difficulty: 3 of 5
There are 20 students, each has a choice of anywhere from 0 to 6 courses from a total of 6 courses offered.

Prove or disprove:
There are 5 students and 2 certain courses such that all 5 have chosen both courses or all 5 have chosen neither of them.

No Solution Yet Submitted by Ady TZIDON    
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No Subject Comment 1 of 1
X---XX
X---XX
X-X--X
X-X--X
X-XX--
X-XX--
XX-X--
XX-X--
XX--X-
XX--X-
-X-X-X
-X-X-X
-XX-X-
-XX-X-
-XX--X
-XX--X
--XXX-
--XXX-
---XXX
---XXX

So disprove. If I do not got lost in the labyrinth...

Just 4 students share any pair of courses and just 4 student miss any pair of courses. 

Edited on February 16, 2016, 1:51 am
  Posted by armando on 2016-02-15 16:35:24

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