Answer :
Using the combination formula, it is found that the teacher can choose 56 combinations of five questions from the list of eight.
The order in which the questions are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 5 questions are taken from a set of 8, hence:
[tex]C_{8,5} = \frac{8!}{5!3!}[/tex]
The teacher can choose 56 combinations of five questions from the list of eight.
More can be learned about the combination formula at https://brainly.com/question/25821700