Answer: 42
Step-by-step explanation:
Let A represents the number of freshmen participated in sports and B represents the number of freshmen participated in clubs.
Then , we have given that
[tex]n(A)=55\\\\n(B)=68\\\\n(A\cup B)=110[/tex]
Using formula
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
We have,
[tex]110=55+68-n(A\cap B)\\\\\Rightarrow\ n(A\cap B)=123-110=13[/tex]
Now, the number of students are involved in just sports is given by :-
[tex]n(A)-n(A\cap B)=55-13=42[/tex]
Hence, 42 students are involved in just sports.
