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Problem of the Day #45: Pre-Arranged Absences May 3, 2011

Posted by Arjun in : potd , trackback

Albert has decided that he needs to cram for AP exams. For that purpose he has decided to take pre-arranged absences on strategic days. In this hypothetical situation he is taking AP Chemistry and Psychology on Monday, Calculus BC on Wednesday,  Biology and Physics B the next Monday, and World History and Human Geography on the next Thursday and Friday, respectively. A maximum of $3$ half days is allowed, and they can only be taken:

What is the number of combinations of absences Albert can take?


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