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Question 2: Last year there were 45 students enrolled in this course, 26 from the Bachelor of Actuarial Science, 14 from the Bachelor of Commerce and 5 from assorted post-graduate degree programs. Given the total enrolment size, we needed two lab sessions assigned, and the class was split randomly into two groups, one of 23 students and the other of 22. a) How many ways of splitting the class are there such that half of the Bachelor of Actuarial Students and half of the Bachelor of Commerce students are in each lab? b) How many ways of splitting the class are there such that all the post-graduates will be in the same lab session? c) If all possible splits are equally likely, what is the chance the smaller lab session contains exactly the same number of Bachelor of Actuarial Science as Bachelor of Commerce students?

Question 2: Last year there were 45 students enrolled in this course, 26 from the Bachelor of Actuarial Science, 14 from the Bachelor of Commerce and 5 from assorted post-graduate degree programs. Given the total enrolment size, we needed two lab sessions assigned, and the class was split randomly into two groups, one of 23 students and the other of 22. a) How many ways of splitting the class are there such that half of the Bachelor of Actuarial Students and half of the Bachelor of Commerce students are in each lab? b) How many ways of splitting the class are there such that all the post-graduates will be in the same lab session? c) If all possible splits are equally likely, what is the chance the smaller lab session contains exactly the same number of Bachelor of Actuarial Science as Bachelor of Commerce students?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 2: Last year there were 45 students enrolled in this course, 26 from the Bachelor of Actuarial Science, 14 from the Bachelor of Commerce and 5 from assorted post-graduate degree programs. Given the total enrolment size, we needed two lab sessions assigned, and the class was split randomly into two groups, one of 23 students and the other of 22. a) How many ways of splitting the class are there such that half of the Bachelor of Actuarial Students and half of the Bachelor of Commerce students are in each lab? b) How many ways of splitting the class are there such that all the post-graduates will be in the same lab session? c) If all possible splits are equally likely, what is the chance the smaller lab session contains exactly the same number of Bachelor of Actuarial Science as Bachelor of Commerce students?
Transcribed Image Text:Question 2: Last year there were 45 students enrolled in this course, 26 from the Bachelor of Actuarial Science, 14 from the Bachelor of Commerce and 5 from assorted post-graduate degree programs. Given the total enrolment size, we needed two lab sessions assigned, and the class was split randomly into two groups, one of 23 students and the other of 22. a) How many ways of splitting the class are there such that half of the Bachelor of Actuarial Students and half of the Bachelor of Commerce students are in each lab? b) How many ways of splitting the class are there such that all the post-graduates will be in the same lab session? c) If all possible splits are equally likely, what is the chance the smaller lab session contains exactly the same number of Bachelor of Actuarial Science as Bachelor of Commerce students?
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