Behold the solution to Citizen E. #6. If you forgot the actual question, click here to see it again.

This problem is easy to visualize if you draw a Venn Diagram like so:

We can see right away, from the statement of the problem, that the innermost circle should have 15 students, because 15 students saw all three films. Now we know that 20 students saw both Legion and Le Film, and we've just accounted for 15 of them, so that leaves 5 that saw Legion and Le Film without having seen Friday. We continue to fill in every region of the Venn Diagram. When we are finished, we have accounted for 85 students, leaving 15 that have not seen a single one of these fine films.

Contestants have found the following six letter words with their letters in alphabetical order: abbess, accept, access, accost, accent, almost, begins, bellow, billow, bijoux, biopsy, cellos, chills, chilly, chintz, effort, floors, ghosty, among others. The list from Bennett, Wilner, Turniansky, Borris and Kidd also includes: abhors, adders, afflux, chilly, chimps, chippy, chitty, chivvy, choosy, choppy, efflux, floppy, flossy, glossy and knotty.

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