The formula for nPr is given by $$ nPr = \frac {n!} { (n-r)!} $$, which shows how permutations depend on both the total number of objects and the number selected. Permutations (nPr) refer to the number of ways to arrange r objects out of n total objects, where the order of arrangement matters. Combinations (nCr), on the other hand, refer to the number of ways to select r objects from n objects without regard to the order of selection. Permutation refers to arranging or ordering a set of distinct elements in a specific sequence. It involves rearranging the elements in every possible way, without repetition, to generate distinct permutations. The total number of permutations for a set of ' n n ' elements is given by n n factorial (n! n!). In this maths formula article, we will learn the Permutation Formula along with some solved examples of permutation formulas. Learn how to calculate the number of permutations of r items from a set of n items using the nPr formula. See the formula derivation, solved examples and a list of maths formulas on one page.
