Every student in a discrete mathematics class is either a computer science or a mathematics major or is a joint major in these two subjects. How many students are in the class if there are 48 computer science majors (including joint majors), 23 mathematics majors (including joint majors), and 7 joint majors?

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bayosanuade bayosanuade · Answer 1 · 2019-10-25T11:54:25+02:00

Answer: 56 students

Step-by-step explanation:

The total number of students in the class is called the universal set

[tex]\\ \\[/tex]48 students are in computer science major including joint major

[tex]\\[/tex]23 students are in Mathematics including joint major.

[tex]\\[/tex]To find those that are in Computer science alone , subtract the joint major from the total computer science , that is

[tex]\\[/tex]Computer science alone = 48 - 7 = 41

[tex]\\[/tex]Also , Mathematics alone is found by subtracting joint major from the total Mathematics, that is

[tex]\\[/tex]Mathematics alone = 23 - 7 = 16

[tex]\\[/tex]Therefore the total number of students = Mathematics students alone + Computer science student alone + the joint majors

[tex]\\[/tex]which is , 41 + 16 +7 =54

[tex]\\[/tex]Therefore , there are 54 students in the class