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Essay Final (Posted on 2005-04-08) Difficulty: 3 of 5
One of my teachers gives his students essay finals. First, he tells us three numbers, A, B, and C. He gives us A essay questions to study before the test. He picks B essay questions to put on the test, and we must pick out C of them to answer. He tells us to study A-B+C of the given questions if we want to pass the final.

As a procrastinator, I only studied the night before. Luckily, some other students had taken the test a day early, and could tell me which of the questions the teacher had picked. Of course, the teacher would pick a different combination of questions to give to the rest of the students. After hearing which questions were given, I realized I needed to study N less questions than was necessary before!

Find N, generalizing to all possible A, B, and C.

See The Solution Submitted by Tristan    
Rating: 3.1000 (10 votes)

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Alleged Answer (No Proof) | Comment 3 of 44 |
This is a bit of a mindbender, but here is what I think is correct:

Whenever C=1, N=1 can be achieved by studying the questions that were not the questions used the day before.  Otherwise,  N=0.  
  Posted by Richard on 2005-04-09 08:41:19
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