Failed exams: Difference between revisions

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{{Hint|The answer is not 4.}}
{{Hint|The answer is not 4.}}


{{Needs Answer}}
{{Needs answer}}
{{Needs Solution}}
{{Needs solution}}


[[Category: Set theory]]
[[Category: Set theory]]
[[Category: Combinatorics]]
[[Category: Combinatorics]]

Current revision as of 05:45, 24 November 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.