Which method allows for calculating unique group arrangements for a small class of students?

The method of combination and factorial counting is effective for calculating unique group arrangements for a small class of students because it takes into account the different ways students can be organized or arranged.

Combination refers to the selection of items without considering the order, while factorial counting is used to determine the number of permutations of a set of items, where the order does matter. For example, if you want to find out how many ways a group of students can be selected and arranged, you would use factorials to count the distinct arrangements. This method allows for a comprehensive view of how groups can be formed and arranged in various configurations, making it suitable for the problem at hand.

Therefore, utilizing combination and factorial counting provides a clear and mathematical approach to determine the total number of unique arrangements or groupings for the students, which can be particularly useful in educational contexts where such arrangements are often needed for activities, projects, or collaborative work.