Home Tuitions

n Choose k Formula

About n Choose k Formula

"Select" means "choose." The "n choose k formula" is used to calculate the number of options for selecting k items from a set of n items. We sometimes prefer to pick and choose rather than arrange things. For example, suppose you're packing luggage for a trip and want to bring 5 new clothes with you. This can be done in variety of ways; it doesn't matter what sequence you choose them in, but it does matter which outfits you choose. Let's look at the n select k formula and answer a few problems.

What is n Choose k Formula?

"n choose k" is denoted by n formula. A binomial coefficient is another name for it. It's used to figure out how many distinct ways there are to choose k different items from n different things. The combinations formula is also known as the n select k formula (as we call a way of choosing things to be a combination). Factorials are used in this formula.

The n Choose k Formula is:

C (n, k) = n! / [(n-k)! k!]

n formula

Get a List of Maths Formulas on one page

Download the pdf of n Choose k Formula