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If 10 circles, all with different radii, are positioned in the same plane, what is the maximum possible number of distinct points where 2 or more of the circles intersect?

Of the 45 households in a certain neighborhood, 28 subscribe to Newspaper Q, 17 subscribe to Newspaper R, 12 subscribe to Newspaper S, 7 subscribe to both Q and R, 8 subscribe to both Q and 5, and 9 subscribe to both R and 5. The number of households who subscribe to all three newspapers is equal to the number of households who subscribe to none of the three newspapers. If 39 of the households subscribe to at least one of the three newspapers, how many households subscribe to only one of the newspapers?

Journal

The editor of Metathesis, a new academic journal of literature, manages the peer-review of articles submitted for publication. The journal accepts articles focusing on any of three general subject areas: comparative literature, modernist literature, and postcolonial literature.

When an article is submitted, the editor has the article peer-reviewed by exactly three experts, none of whom authored or coauthored the article. The table (see the Reviewers/Authors tab) consists of all the authors or coauthors who have recently submitted articles and all the experts who currently peer-review or have recently peer-reviewed those articles. It also lists the general subject areas for each of the authors and reviewers.

Each author of each submitted article specializes in the general subject area of the article. Moreover, each recently submitted article was peer-reviewed by experts listed in the table.

Review Rules