Answer: 55
Step-by-step explanation:
Given
Values are presented in the Venn diagram
No of left-handed students [tex]n(A)=25[/tex]
No of vegetarians students [tex]n(B)=45[/tex]
Students who are left-handed and vegetarian is given by [tex]n(A\cap B)=15[/tex]
[tex]n(A\cup B)[/tex] is given by [tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
Put the values
[tex]n(A\cup B)=25+45-15\\n(A\cup B)=55[/tex]
