Answer:
Number of students registered in Math trail only and in Amazing Race only is 86.
Number of students who did not registered in both events = 36
Step-by-step explanation:
There are 150 students totally.
64 students registered in Math trail.
78 registered in Amazing race.
28 registered in both Math trail and Amazing Race.
We can make Venn diagram for this and answer the question.
I've attached the Venn diagram.
Using the diagram,
Number of students registered in Math trial only and in Amazing race only is 36+50= 86.
Number of students who did not registered in both events = (150-(36+28+50))=36