Practice Problems on nCr Formula
Problem 1: In a lottery game, you need to choose 6 numbers from a pool of 49. How many different combinations of numbers can you choose?
Problem 2: A restaurant has a menu with 15 different main dishes, 8 different appetizers, and 10 different desserts. If a customer wants to order one main dish, one appetizer, and one dessert, how many different meal combinations are possible?
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