Question

Find the indicated number of elements by referring to the table

of enrollments in a finite mathematics class. Let the universal set
U be the set of all 112 students in the class, A the set of
students from the College of Arts & Sciences, B the set
of students from the College of Business, F the set
of freshman, and S the set of sophomores. Find the number of
students in
B.
Freshman
Sophomores
Arts & Sciences
20
10
Business
55
27
n(B)= ______

Answer 1

The number of students in set B, which is the set of students from the College of Business, is 82, obtained by adding the 55 freshman business students to the 27 sophomore business students.

Step-by-step explanation:

The question asks us to find the number of students in set B, which represents the students from the College of Business in a finite mathematics class. To find n(B), we need to add the number of freshman business students to the number of sophomore business students. According to the information provided, there are 55 freshman and 27 sophomores in the College of Business. Thus, the total number of students in B is 55 + 27 = 82.