What is nPr Formula?
A permutation is an arrangement of all or part of a set of objects, about the order of the arrangement. The nPr formula is used to calculate the number of permutations of n distinct objects taken r at a time. It is denoted mathematically as:
nPr = n! / (r!(n – r)!)
where,
- “n” is the total number of items in the set,
- “r” is the number of items to be chosen, and
- “!” denotes factorial, which is the product of all positive integers from 1 to the given number.
nPr Formula
nPr formula is used when we have to choose “r” options out of “n” choices. And the nPr formula is,
P (n, r) = nPr = nPr = n! / (n – r)!
Where,
- n is Total Number of Things
- r is Number of Things that have to be Selected and Arranged
nPr Formula
nPr formula is used to find the number of ways in which r different things can be selected and arranged out of n different things. The nPr formula is, P(n, r) = n! / (n−r)!, and is also called Permutation Formula.
In this article, we learn about nPr formula, its significance, properties, mathematical derivation, and diverse applications across mathematics and real-world scenarios.
Table of Content
- What is nPr Formula?
- Properties of nPr Formula
- Derivation of nPr Formula
- nPr and nCr Formula
- Applications of Permutation (nPr) Formula
- Examples on nPr Formula
- Practice Problems on nPr Formula
- nPr Formula: FAQs