Which term describes an arrangement of a specific number of a set of objects without regard to order?

The term that describes an arrangement of a specific number of a set of objects without regard to order is "combination." In combinatorics, combinations are used when the selection of items is what matters and not the sequence in which they appear. For example, if selecting 2 fruits from apples, bananas, and oranges, the pair of apples and bananas is considered the same combination as bananas and apples, since the order is irrelevant.

This concept is fundamental in various mathematical and real-world applications where the arrangement or sequence does not influence the outcome, such as in forming teams or groups from a larger set.

In contrast, arrangements where order does matter are known as permutations. The other terms, such as subset and arrangement, do not accurately capture the idea of selecting items without regard for their order. A subset refers to any selection of objects from a larger set, which can include combinations of different sizes, while an arrangement usually implies the specific order of elements.