Question: Question 7. (15 marks) a) [2 marks] Suppose there are 9 athletes participated in the 85 anniversary Marathon of the Polytechnic University of Hong

Question 7. (15 marks) a) [2 marks] Suppose there are 9 athletes

Question 7. (15 marks) a) [2 marks] Suppose there are 9 athletes participated in the 85 anniversary Marathon of the Polytechnic University of Hong Kong. Find the number of ways to award a gold medal, a silver medal and a bronze medal. b) In a student society, a committee of 5 people is to be chosen from a group of 7 first-year students and 4 second-year students. How many committees are possible if i) [2 marks] no special requirements? ii) [3 marks] one particular person must be chosen on the committee?

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