Step 1 :The student has three terms and three definitions. The task is to match each term with its correct definition. This is a permutation problem because the order in which the terms are matched to the definitions matters.
Step 2 :The formula for permutations is \(P(n, r) = \frac{n!}{(n-r)!}\), where \(n\) is the total number of items, and \(r\) is the number of items to choose. In this case, \(n = r = 3\) because there are three terms and the student must match all three.
Step 3 :Using the formula, we find that there are \(P(3, 3) = 6\) ways to match the terms with their definitions.
Step 4 :Final Answer: There are \(\boxed{6}\) ways to match the terms with their definitions.