Suppose that there are nine students in a discrete mathematics class at a small college. a) Show that the class must have at least five male students or at least five female students. b) Show that the class must have at least three male students or at least seven female students.

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Mathematics

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14 August, 08:39

Suppose that there are nine students in a discrete mathematics class at a small college. a) Show that the class must have at least five male students or at least five female students. b) Show that the class must have at least three male students or at least seven female students.

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Josephine Cummings · Answer 1

a) There are genders, males and females, so at least (9/2=5) representatives of each gender.

b) If the less than 3 male students then there are more than 6 female students and if the class has less than seven female students than there are more than 2 male students.