Final answer:
The code will output '0' as enums are represented by integers, and the first value in an enum without custom values starts at 0.
Step-by-step explanation:
The output of the given code will be b. 0. When an enum is used in C++ without custom values, the enumeration values start from 0 and increase by 1 with each subsequent enumerated value. Since ALGEBRA is the first item in the courses enum, it is assigned the integer value of 0. When the code prints the registered variable, which is set to ALGEBRA, it will output its corresponding integer value, not the name 'ALGEBRA'.