A combination lock uses three numbers between 1 and 31 with repetition, and they must be selected in the correct sequence. Is the name of "combination lock" appropriate? Why or why not? Choose the correct answer below. A. No, because the permutations rule would be used to determine the total number of combinations. B. No, because the multiplication counting rule would be used to determine the total number of combinations. C. Yes, because the combinations rule would be used to determine the total number of combinations, D. No, because factorials would be used to determine the total number of combinations.

The correct answer is: C. Yes, because the combinations rule would be used to determine the total number of combinations. The term "combination lock" is appropriate because the lock allows for the selection of three numbers between 1 and 31 with repetition, and the order in which the numbers are selected does not matter. This is a characteristic of combinations, where the arrangement of items is not considered. The combinations rule is used to calculate the number of ways to choose items from a larger set where the order does not matter. In this case, the total number of combinations can be calculated using the formula for combinations with repetition, which is: n^r where n is the number of options (31 in this case) and r is the number of items to choose (3 in this case). So, the total number of combinations would be 31^3.