4) A group of 1545 students were surveyed about the courses they were taking at

Question

4) A group of 1545 students were surveyed about the courses they were taking at their college with the following results: 741 students said they were taking Math. 772 students said they were taking History. 782 students said they were taking P3ychology. 808 students said they were taking Dance. 450 students said they were taking Math and Psychology. 436 students said they were taking Psychology and Dance. 413 students said they were taking Math and History. 495 students said they were taking History and Dance. 314 students said they were taking Math, History, and Dance. 206 students said they were taking History, Psychology, and Dance. 234 students said they were taking Math, History, and Psychology. 225 students said they were taking Math, Psychology, and Dance. 166 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: tab 4 set venn Diagram Math History XII. Dance Psycholo O Type here to search

Explanation / Answer

The blank spaces values are 1=112 , 2=31 , 3=178 , 4=157, 5=68 , 6=166 , 7=148 , 8=141 , 9=59 , 10=40 , 11=121 , 12=171 , 13=83 , 14=70 ( the left hand side of the above equations are roman numbers , as I can't print roman numerals iI have replaced them with equivalent natural numbers ).By using the blank spaces values we get the answers as :

a) 182

b)1354

c)773

d)148

e)481

f)148

g)1334

h)70

i)498

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