Answer: 160
Step-by-step explanation:
Given : The options to fill science requirement =4
The options to fill diversity requirement =2
The options to fill English requirement =5
The options to fill math requirement = 4
The Fundamental Counting Principle say that the number of total outcomes is equal to the product of the number of ways of all the events occur in the problem.
Using Fundamental Counting Principle, we have the total number of possible outcomes for the given situation :-
[tex]4\times2\times5\times4=160[/tex]
Hence, the total number of possible outcomes = 160
