Transcript records of 2,538 college firts-year students. Let the following subsets be defined:  Group 1: the set of stduents who finished Philosophy Group 2: The sef of students who finished Chemistry The records show 2,001 students completed Philosophy and 1,064 students completed Chemistry. The records also show that 1,333 of those who took Philosophy did not take Chemistry.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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 Transcript records of 2,538 college firts-year students.

Let the following subsets be defined: 

Group 1: the set of stduents who finished Philosophy

Group 2: The sef of students who finished Chemistry

The records show 2,001 students completed Philosophy and 1,064 students completed Chemistry. The records also show that 1,333 of those who took Philosophy did not take Chemistry. 

 

  Construct a Venn diagram to represent your assigned problem. Include capital letter labels for all sets and indicate what each label represents

Use the set notation symbols (∪,',∩) and set labels from part A to express each of the following sets:

•  elements in both Group 1 and Group 2

•  elements in Group 2 but not Group 1

•  elements in Group 1 or Group 2

•  elements in neither Group 1 nor Group 2
 

  Determine the cardinality of each of the following sets, including an explanation of the process for how you determined the cardinality:

•  elements in both Group 1 and Group 2

•  elements in Group 2 but not Group 1

•  elements in Group 1 or Group 2

•  elements in neither Group 1 nor Group 2

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