Question: Discrete Mathematical Structures/ Inclusion - Exclusion Please explain with original answer. Do not copy and paste from somewhere else. 1. The local scifi club has

Discrete Mathematical Structures/ Inclusion - Exclusion

Please explain with original answer. Do not copy and paste from somewhere else.

Discrete Mathematical Structures/ Inclusion -
1. The local scifi club has 100 members. At a meeting, a show of hands showed that 43 members are fans of Arthur C. Clarke and a show of hands showed that 41 members are fans of Robert A. Heinlein. The random selection of a board of directors of at least how many members will guarantee that there are at least 5 Clarke fans, and also at least 5 Heinlein fans among the directors? If n is the right answer, you must not only explain why the random selec- tion of n members suffices, but also why selecting fewer than n members may not suffice

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