A student can choose from various introductory courses in history, science, mathematics, philosophy, and English, resulting in 24 different combinations based on the available options in each subject.
A student choosing one introductory course from each subject area—history, science, mathematics, philosophy, and English—faces a task of forming a combination. The counting principle comes into play here, multiplying the number of choices for each subject. For history, there are 2 options, for science 3, for mathematics 2, for philosophy 2, and for English 1. Multiplying these choices together yields the total number of combinations:
. Therefore, there are 24 different ways a student can select one course from each of the specified subjects.
In summary, the total number of ways a student can choose one introductory course in history, one in science, one in mathematics, one in philosophy, and one in English is 24.
The question probable may be:
How many different ways can a student choose one introductory course in history, one in science, one in mathematics, one in philosophy, and one in English from the options provided by the college?