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. Solved Examples Using Permutation Formula Question 1: Find the number of permutations if n = 9 and r = 2. Solution: Given n = 9 and r = 2. Permutation = n P r = n!/ (n−r)! = 9! / (9-2)! = 9! /7! = 72 Thus, the number of permutations = 72 Question 2: Find how many ways you can rearrange letters of the word “BANANA” all at a time. Solution: Given word: BANANA Total number of letters in “BANANA” = 6 Total number of “A”s in the word “BANANA” = 3 Total number of “N”s in the ... Permutations formula can be used to find the different arrangements of alphabets, numbers, seating arrangements, and all other activities involving arrangements. Understand the Permutations Formula using derivation, examples and FAQs. 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.
