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Discrete Mathematics QUESTION 3 An exam paper contains 10 questions and students must answer 8 of them (a) In how many ways can a student

Discrete Mathematics

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QUESTION 3 An exam paper contains 10 questions and students must answer 8 of them (a) In how many ways can a student choose 8 out of 10 questions? (2 ) (b) Show, by using the extended pigeonhole principle, that if 100 students write the exam paper, then at least 3 students will choose the same 8 questions to answer. State clearly what the pigeons and the pigeonholes are. (5) [7]

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