Discrete Math Quiz
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COUNTING AND COMBINATORICS
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A game show contestant must choose doors to open in a hallway. The hallway has 3 sections: Section A has 4 doors, Section B has 5 doors, and Section C has 3 doors. The contestant wins if they open at least one door from Section A or at least one door from Section C, but they lose if they open any door from Section B. If the contestant must open exactly 2 doors total, how many winning strategies exist?
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