# N Choose K Formula

## N Choose K Formula

N Choose K Formula is an important and basic mathematical formula. Students can fully prepare for the topic on N Choose K Formula with help from Extramarks’ learning resources.

Mathematics, also known as the Science of structural relationship and order and considered to be a logical subject of study, developed from the practice of counting, measuring, and describing the shapes of objects. Additionally, logical thinking and mathematical computation are covered. Nowadays, the term “Mathematics” is used to refer to the study of Mathematics. Mathematical theories aid students in understanding and addressing a wide range of problems in both academic and practical situations. The finest brain exercise is definitely solving mathematical puzzles.

The subject matter of Mathematics has evolved over time to become increasingly organised and logically sequenced. The subject has long been studied by mathematicians in many different civilisations. Archimedes is recognised as the Father of Mathematics (287–212 BC). He developed formulas to determine the weight of a solid based on its volume and surface area. Aryabhatt, who was born in 476 CE, is known as the Father of Indian Mathematics.

Mathematics has been crucial to Technology and the Physical Sciences since the 17th century. Mathematics is expected to serve a comparable role in the quantitative components of the Life Sciences, according to recent predictions.

In the sixth century BC, the Pythagoreans were the first individuals to study Mathematics as a “demonstrative science.” The term “Mathematics” comes from the Greek word “mathema,” which means “educational material.” Axioms, theorems, proofs, and postulates were developed by another mathematician by the name of Euclid. Modern Mathematics still makes use of these concepts.

The N Choose K Formula is part of the topic on the Binomial Theorem. The most often applied theorem in Mathematics is the Binomial Theorem. It is used, among other things, to provide solutions to problems in the fields of Probability, Algebra, Calculus, and combinatorics. It can be used to identify the remainder when a value raised to a high exponent is split by another number, compare two enormous numbers, and predict the outcome of an experiment. The Binomial Theorem is also applied in the distribution of IP addresses, national economic forecasts, and weather forecasting.

The expanded value of the algebraic expression of the form (x + y)n is largely determined with the aid of the Binomial Theorem. It is simple to get the value of (x + y)2, (x + y)3, and (a + b + c)2 by algebraically multiplying the numbers according to the exponent value. However, it requires too much computation to determine the expanded version of (x + y)17 or other similar expressions with larger exponential values. The binomial theorem can assist to make things simpler.

In the fourth century BC, a well-known Greek mathematician by the name of Euclid made the first reference to the Binomial Theorem. The algebraic expression (x + y)n can be expanded according to the Binomial Theorem, which represents it as a sum of terms using separate exponents of the variables x and y. Each word in a binomial expansion has a coefficient, which is a numerical value.

A binomial statement that has been raised to a very large power can be calculated using the binomial theorem. The binomial theorem is extensively used in statistical and probability analysis. Given how frequently statistical and probabilistic analyses are used in the economy, it is actually highly advantageous. In advanced Mathematics and computation, the Binomial Theorem is used to find the roots of equations with higher powers. This theorem, which is a crucial component of algebra, has applications in permutations and combinations, probability, matrices, and mathematical induction.

## What is n Choose k Formula?

Choose simply means to pick. Finding the number of possible methods to choose k items out of n items is done using the N Choose K Formula. Students can learn more about the N Choose K Formula with the help of resources provided by Extramarks.

### Solved Examples Using n Choose k Formula

With the help of examples, students can learn the concept of the N Choose K Formula well. They can practise questions of N Choose K Formula with the help of the various high-quality resources offered by Extramarks.