Answer: d) 115
Step-by-step explanation:
Given : n(U) = 200, n(A) = 135, n(B) = 105, and n( A ∩ B ) = 50.
To find : [tex]n(A^c\cup B)[/tex]
Complement of A = [tex]A^C=U-A[/tex]
With the help pf the Venn diagram below, we have
[tex]A^c\cup B= U-(\text{ only A})[/tex]
Since , Only A = A-A ∩ B
i.e. Only A = n(A) - n( A ∩ B ) =135-50=85
Then, [tex]n(A^c\cup B)= n(U)-(\text{ only A})[/tex]
[tex]n(A^c\cup B)=200-85=115[/tex]
Hence, the correct answer is d) 115 .
