Answer:
a) 3
b) 10
c) 5
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 26
Instructor that like whiteboards = 11
[tex]n(A) = 11[/tex]
Instructor that like blackboards = 18
[tex]n(B) = 18[/tex]
Instructor that like both boards = 8
[tex]n(A\cap B) = 8[/tex]
We have to find the following:
a) instructors like whiteboards only
[tex]=n(A) - n(A\cap B)\\=11-8\\=3[/tex]
b) instructors liked blackboards only
[tex]=n(B) - n(A\cap B)\\=18-8\\=10[/tex]
c) instructors liked neither
[tex]=n(A\cup B)'\\=n - n(A\cup B)\\=n - (n(A) + n(B) -n(A\cap B))\\=26-(11+18-8)\\=5[/tex]
