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5 A The Bursaries Committee of a certain country offers scholarships to only 4 students...

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5 A The Bursaries Committee of a certain country offers scholarships to only 4 students from a particular school who come out first second third and fourth in their final year examinations i Find the number of ordered ways the students can qualify for a scholarship if the school has 10 students sitting for their final examinations ii Solve for the problem i above if order is not important B i In a group of 100 people each person picks a number from 97 to 115 What is the minimum number of people you need to be sure two of them have the same number iii At a certain university 525 of the seniors are history majors or math majors or both There are 102 senior math majors and 35 seniors are majoring in both history and math How many seniors are majoring in history 10 Marks

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