Neerja modi school has 85 seniors, each of whom plays on at least one of the school’s three varsity
sports teams: football, baseball, and lacrosse. It so happens that 74 are on the football team; 26 are
on the baseball team; 17 are on both the football and lacrosse teams; 18 are on both the baseball and
football teams; and 13 are on both the baseball and lacrosse teams. Compute the number of seniors
playing all three sports, given that twice this number are members of the lacrosse team
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