# Solve for XYZ: Permutation of 21600 - Positive Integral Solutions

• nik jain
In summary, a permutation is a mathematical concept that refers to the arrangement of a set of objects in a specific order. It differs from combination in that the order of objects is important. The formula for calculating permutations is n!/(n-r)!, and it has various real-life applications such as in word arrangements, card shuffling, and team formation. To solve permutation problems, one must identify the total number of objects, determine the number of objects being arranged, and use the permutation formula. Practice and systematic thinking can also aid in solving these problems accurately.
nik jain

## Homework Statement

Find the no. of +ve integral solution of XYZ = 21600

How many positive divisors of 21,600 are there?

## 1. What is a permutation?

A permutation is a mathematical concept that refers to the arrangement of a set of objects in a specific order. It is often denoted using the notation nPr, where n represents the total number of objects and r represents the number of objects being arranged.

## 2. How is permutation different from combination?

Permutation and combination are both ways of selecting and arranging objects, but they differ in terms of the order of arrangement. In permutation, the order of objects is important, while in combination, the order is not important.

## 3. What is the formula for calculating permutations?

The formula for calculating permutations is n!/(n-r)!, where n represents the total number of objects and r represents the number of objects being arranged. This formula is also known as the permutation formula or the factorial formula.

## 4. What are some real-life applications of permutations?

Permutation has many real-life applications, such as in the arrangement of letters in a word, the shuffling of playing cards, and the formation of teams in a sports tournament. It is also used in coding and cryptography to generate unique codes and passwords.

## 5. How can I solve permutation problems?

To solve permutation problems, you can follow the steps of identifying the total number of objects, determining the number of objects being arranged, and plugging the values into the permutation formula. It is also helpful to practice with sample problems and work systematically to avoid mistakes.

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