Respuesta :
Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.
What is the Fundamental Counting Theorem?
It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
- For the semester, he has 2 possible options, hence [tex]n_1 = 2[/tex].
- For the country, he has 5 possible options, hence [tex]n_2 = 5[/tex].
The total number of options is given by:
N = 2 x 5 = 10.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
