Question

enn diagram question (unit 1)
seventy - five students participated in a survey at a local college and the following data were collected: there were 27 students taking accounting, 26 taking psychology, and 41 students taking statistics.
12 students were taking accounting and psychology, 13 students were taking accounting and statistics, and 17 were taking psychology and statistics.
5 students were taking all three courses.
determine the number of students who only take psychology.
(use a venn diagram in your solution)

Explanation:

Step1: Define only psych-acc overlap

Subtract all 3 from psych-acc total.
$12 - 5 = 7$

Step2: Define only psych-stat overlap

Subtract all 3 from psych-stat total.
$17 - 5 = 12$

Step3: Calculate only psychology students

Subtract overlaps from total psychology students.
$26 - 7 - 12 - 5 = 2$

Answer:

2