Essay Test An essay test in European History has 12 questions. Students are required to answer 8 of the 12 questions. How many different sets of questions could be answered?

Combinations refer to the selection of items from a larger set where order does not matter. In this problem, choosing 8 questions out of 12 is a combination because the order of questions answered is irrelevant.

The binomial coefficient, denoted as C(n, k) or "n choose k," calculates the number of ways to choose k items from n without regard to order. It is computed as n! / (k! (n-k)!), where ! denotes factorial.

Factorial of a positive integer n, written as n!, is the product of all positive integers up to n. Factorials are used in combinations to calculate the total number of ways to arrange or select items.