Compute the permutation. 12 P5

Name: Problem 15, Chapter 11: Intermediate Algebra
Uploaded: 2020-06-27T11:15:35-08:00
Duration: 43 s
Channel: Ankit Gupta
Description: Compute the permutation. 12 P5

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Key Concepts

Permutation

A permutation is an arrangement of items in which the order matters. In combinatorics, when selecting or arranging a subset of objects from a larger set, the sequence or order in which the objects are arranged is significant. This is a common concept in counting and probability problems.

Factorial

The factorial of a number n, denoted by n!, is the product of all positive integers from 1 up to n. This function is fundamental in combinatorics as it is used to compute the number of ways to arrange objects. Factorial operations are especially important in calculations involving permutations and combinations.

Permutation Formula

The permutation formula, given by nPk = n!/(n-k)!, is used to compute the number of ways to arrange k objects out of a set of n distinct objects. This formula directly applies the concept of factorials by first calculating the total number of arrangements for n objects and then adjusting for the fact that only k positions need to be arranged.

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