4) A group of 1522 students were surveyed about the courses they were taking at

Question

4) A group of 1522 students were surveyed about the courses they were taking at their college with the following results: 763 students said they were taking Math. 683 students said they were taking English. 679 students said they were taking History. 823 students said they were taking Psychology 447 students said they were taking Math and History. 420 students said they were taking Math and English. 399 students said they were taking English and Psychology 346 students said they were taking History and Psychology 75 students said they were taking English, History, and Psychology. 153 students said they were taking Math, History, and Psychology 202 students said they were taking Math, English, and Psychology 169 students said they were taking Math, English, and History 29 students said they were taking all four courses. Fill in the following Venn Diagram with the cardinality of each region. So that you do not need to draw the 4 set Venn Diagram, here is a printable version Diagram Math English VI IV: VIII XI XII XIII XIV History Psychology

Explanation / Answer

In Venn Diagram :

I = 65

II = 78

III = 66

IV = 154

V = 140

VI = 29

VII = 173

VIII = 151

IX = 124

X = 46

XI = 39

XII = 147

XIII = 153

a) 512 students are taking Math & Psychology or English & History.

b) 157 students are taking none of the courses.

c) 173 students are taking Math, English and Psychology but not History.

d) 294 students are not taking History & Psychology or are taking History & Math.

e) 468 students are taking English but not History.

f) 173 students are taking Math and Psychology but not History.

g) 1326 students are taking Math, English or Psychology.

h) 839 students are not taking English.

i) 222 students are not taking English, History or Psychology.

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