Npr formula: Solved Examples Using Permutation

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 ... Find the number of ways of getting an ordered subset of r elements from a set of n elements using the formula P(n, r) = n! (n - r)!. See examples of permutations problems and solutions with horses, contestants and players. 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. In combinatorics, nCr and nPr are essential formulas used to calculate combinations and permutations. They represent the number of ways to select and arrange objects from a set. nCr refers to combinations, where order does not matter, while nPr refers to permutations, where order does matter.