Question

A group of 2414 students were surveyed about the courses they were taking at their college with thefollowing results:1158 students said they were taking Dance.1204 students said they were taking History,1107 students said they were taking Math.426 students said they were taking Math and History.501 students said they were taking Math and Dance.599 students said they were taking History and Dance.214 students said they were taking all three courses.Fill in the following Venn Diagram with the cardinality of each region.MathHistoryгуutIIIV. 214IV.VIIDanceVIII.

Answer 1

Lets fill the Venn diagram. The intersection zones are the following:

where we can see that 287+214 = 501 students said they were taking Math and Dance, 214+385= 599 students said they were taking History and Dance and 212+214 =426 students said they were taking Math and History.

Lets continue with the remaining zones. Then, the final solution is: