1. A college offers three different psycology . courses, four different history courses, and six different business courses. If a student is required to take one course in each of those three subjects, how many different ways are there for the student to fulfill this requirement?
look at the number of ways to choose each course. His total choices are
3*4*6 = 72
To find the number of different ways a student can fulfill the requirement of taking one course in each of the three subjects (psychology, history, and business), we need to multiply the number of options available for each subject.
First, we have three options for the psychology course.
Then, we have four options for the history course.
Lastly, we have six options for the business course.
To calculate the total number of possibilities, we multiply the number of options for each subject:
3 options for psychology * 4 options for history * 6 options for business = 72 different ways.
Therefore, there are 72 different ways for the student to fulfill this requirement.