The following table lists the 28 largest Canadian universities according to full-time undergraduate enrolment figures. The province of location is given in parentheses.a. If five different universities are selected randomly from the list, what is the probability that three of them have enrolments of 18,000 or more?b. If eight different universities are selected randomly from the list, what is the probability that two or fewer are universities in Quebec?c. Suppose universities are being selected randomly from this list with replacement. If five universities are sampled, what is the probability that the sample will contain exactly two universities in British Columbia?

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University University of Toronto (ON) York University (ON) University of British Columbia (BC) Université de Montréal (QC) Athabasca University (AB) Ryerson University (ON) University of Ottawa (ON) Université du Québec à Montréal (QC) Concordia University (QC) University of Alberta (AB) University of Waterloo (ON) Simon Fraser University (BC) University of Western Ontario (ON) Université Laval (QC) Mount Royal University (AB) McGill University (QC) University of Manitoba (MB) University of Calgary (AB) McMaster University (ON) Carleton University (ON) University of Guelph (ON) MacEwan University (AB) University of Victoria (BC) Wilfrid Laurier University (ON) Kwantlen Polytechnic University (BC) Queen's University (ON) University of Saskatchewan (SK) Brock University (ON) Enrolment 60,660 46,640 41,700 41,055 36,240 36,200 36,042 33,100 32,347 31,904 30,000 29,697 29,500 27,530 24,768 23,758 23,640 23,320 22,940 20,950 19,800 18,897 18,863 18,500 16,811 16,700 16,430 15,747