Question

venn 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 psychology formula

Only Psychology = Total Psychology - (Psychology+Accounting only + Psychology+Statistics only + All three)

Step2: Calculate Psych+Account only

Psych+Account only = 12 - 5 = 7

Step3: Calculate Psych+Stats only

Psych+Stats only = 17 - 5 = 12

Step4: Compute only Psychology

Only Psychology = 26 - (7 + 12 + 5)
= 26 - 24

Answer:

2