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PART D - COUNTING AND PROBABILITIES - 25 MARKS In this entire section, you should simplify your calculations as much as possible. Fractions should also

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PART D - COUNTING AND PROBABILITIES - 25 MARKS In this entire section, you should simplify your calculations as much as possible. Fractions should also be simplified as much as possible but can remain fractions. D1 Final Exam Grades (6 marks) There are 179 students currently registered in CPS420. This final exam is graded out of 75. For the purposes of this question you can assume that all the grades are integers. If you know that at most 10 students will get a grade strictly below 20, what is the least number of nal exams that will need to be graded to guarantee that at least 2 students in this class have the same grade in this nal exam? Explain your

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