Question

In a certain university 2,191 students are enrolled in its College of Arts and Sciences. 980 are male students while 758 are female students. Of the male students, 99 are club members, while only 48 of the female are club members. Using sets and Venn Diagram, determine the number of:
a. Male students who are not club members.
b. Female students who are not club members.
C. Either male or female students and who are not club members. ​

Answer 1

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Answer 2

Given:

Total number of students$2191$

Total male students$=980$

Total female students$=758$

Male students that are club members $=99$

Female students that are club members $=48$

Solution:

Draw the required Venn diagram.

part a.

Find the number of male students that are not club members.

Male students who are not club members$=980-99$

                                                                     $=881$

part b.

Find the number of male students that are not club members.

Female students who are not club members$=758-48$

                                                                         $=710$

part c.

Find the number of students that are either male or female students and who are not club members. ​

Number of students that are either male or female students and who are not club members$=881+710$

                              $=1591$