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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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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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