There are 30 undergraduates in the Department of Logic in a university's philosophy department, half male and 50 female, of which 20 like axiomatic set theory and 25 like model theory. So which of the following is not possible, except:. ['0 boys like an axiomatic set theory but not model theory.', '0 boys who like model theory dislike axiomatic set theory.', '5 girls who like model theory do not like axiom set theory.', 'Only 5 boys who like axiomatic set theory like model theory.']