Venn diagram:

The diagrams drawn to given sets are known as Venn diagrams or Eule -Venn diagrams. Here we show the universal set U by points within rectangle and the subset A of the set U shown by the inner sector of a circle. If a set A is a subset of a set B then the circle showing A is drawn under the circle showing B. If A and B are not equal but they have some similar elements, then to show A and B by two intersecting circles.

Problem : A class has 175 students. The given table defines the number of students studying one or more of the subsequent subjects in this case

                        Subjects                                  No. of students

                        Mathematics                                    100

                        Physics                                             70

                        Chemistry                                         46

                        Mathematics and Physics                 30

                        Mathematics and Chemistry             28

                        Physics and Chemistry                     23

                        Mathematics, Physics and Chemistry  18

How many students are study Physics alone, Mathematics alone and Chemistry alone? Are there students who have not taken any one of these subjects?

 Solution:       Let P, C, M shows the sets of students taking Physics, Chemistry and Mathematics respectively. Let a, b, c, d, e, f, g shows the number of students defined in the bounded region as presented in the diagram then

                        after calculating we get g = 18, f = 10, e = 5, d = 12, a = 35, b = 13 and c = 60

                        ∴ a + b + c + d + e + f + g = 153

                        So, the number of students who have not studied any of these three subjects = 175 -153 = 22

                        Total number of students studying Mathematics only, c = 60

                        Total number of students studying Physics only, a = 35

                       Total number of students studying Chemistry only, b = 13.

Email based Venn diagram Assignment Help -Venn diagram Homework Help

We at www.expertsmind.com offer email based Venn diagram assignment help - homework help and projects assistance from k-12 school level to university and college level and engineering and management studies.  We provide finest service of Mathematics assignment help and Mathematic homework help. Our experts are helping students in their studies and they offer instantaneous tutoring assistance giving their best practiced knowledge and spreading their world class education services through e-Learning program.

Expertsmind's best education services

• Quality assignment-homework help assistance 24x7 hrs
• Best qualified tutor's network
• Time on delivery
• Quality assurance before delivery
• 100% originality and fresh work