Failed exams: Difference between revisions
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{{Hint|The answer is not 4.}} | {{Hint|The answer is not 4.}} | ||
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[[Category: Set theory]] | [[Category: Set theory]] | ||
[[Category: Combinatorics]] | [[Category: Combinatorics]] | ||
Revision as of 09:26, 12 May 2010
Here is a typical set theory problem
Puzzle
An examination in three subjects, Algebra, Biology, and Chemistry, was taken by 41 students. The following table shows how many students failed in each single subject and in their various combinations.
| Subjects: | A | B | C | AB | AC | BC | ABC |
|---|---|---|---|---|---|---|---|
| Failed: | 12 | 5 | 8 | 2 | 6 | 3 | 1 |
How many students passed all three subjects?
Help
Hint
The answer is not 4.