binomial coefficient

A binomial coefficient is a mathematical way to determine how many different groups you can select from a larger set, ignoring the order. For example, if you have 5 items and want to know how many ways to choose 2 of them, the binomial coefficient tells you that number. It’s often written as "n choose k" or \(\binom{n}{k}\), where n is the total items and k is how many you choose. This concept is useful in probability, combinatorics, and algebra, helping to count combinations of items without regard to order.