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 sot of all 124 students in the class, A the sot 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 AUF. n( AUF )=

Answer 1

To find the number of students in the set AUF, we need to find the intersection of sets A, U, and F. The number of students in AUF is the number of students who belong to both set A and set F.

Step-by-step explanation:

To find the number of students in the set AUF, we need to find the intersection of sets A, U, and F. The intersection of sets can be found by taking the common elements among the sets.

Given that A is the set of students from the College of Arts & Sciences, F is the set of freshmen, and U is the universal set of all 124 students, we need to find the number of students who are in both A and F.

AUF = A ∩ F

To find the number of students in AUF, we can count the number of students who belong to both A and F. Let's assume there are 50 students in set A and 75 students in set F, and there are 25 students who belong to both A and F. Therefore, n(AUF) = 25.