Question

Suppose that four students, Stephanie, Charles, Tim, and Rachel, are all preparing to take standardized exam that contains three subjects, math, reading, and science. Four tutors are available to help the students prepare for the exam. Each tutor is able to help in any of the three subjects. How many different ways can the students, tutors, and subjects be uniquely combined?

Answer 1

48 different ways

Explanation:

To solve this question, we use the Fundamental Counting Principle technique.

Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.

If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z

For the above question, we have 3 events

Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)

Event 2: 3 subjects ( Math, Reading, And Science)

Event 3 : 4 tutors.

Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:

= 4 × 3 × 4

= 48 different ways