Answer:
8 Students
Step-by-step explanation:
Total Number of Students= 50
Number of students who like red jellybean ,n(R)=30
Number of students who like green jellybean, n(G) =29
Number of students who like red and green jellybean, n(R∩G) =17
We denote by n(R∪G)ᶜ the number who like neither red nor green jellybeans.
Now, using set theory,
n(R∪G)=n(R)+n(G)-n(R∩G)+n(R∪G)ᶜ
50=30+29-17+n(R∪G)ᶜ
50=42+n(R∪G)ᶜ
n(R∪G)ᶜ= 50-42
=8
Therefore, the number of students who like neither red nor green jellybeans= 8
Note: This problem can also be solved using the Venn Diagram Approach
