What is Combination?
Combinations are a fundamental concept in combinatorics, a branch of mathematics that deals with counting, and selecting objects without regard to their specific order. In simple words, combinations are used to determine the number of ways to select a specific number of items from a larger set, without considering the order in which the items are chosen.
The number of combinations of “n” items taken “r” at a time is denoted as “C(n, r)” or “n choose r” or “nCr“.
nCr Formula
nCr Formula is one of the countless formulas in the world of mathematics, which plays a pivotal role in solving problems and gaining a deeper understanding of the subject. nCr formula deals with combinations and as we know, Combinations are an integral part of combinatorics, the branch of mathematics that focuses on counting and arranging objects.
They are widely used in probability and statistics to calculate the possible outcomes of events. They also have many applications in real-life situations such as forming teams, choosing passwords, arranging books, etc. In this article, we will explore the nCr formula in detail, discussing its importance, and applications and providing clarity through solved problems.
Table of Content
- What is Combination?
- What is nCr Formula?
- Properties of nCr
- Derivation of nCr Formula
- nPr and nCr Formula