What is permutations explain with examples, Mathematics

Assignment Help:

What is Permutations explain with examples?

Each arrangement of a set of elements is called a permutation. In other words, every possible way (order) of writing a group of letters, numbers, etc., is called a permutation of that set.

For example, how many ways can Ada, Brenda, and Chad sit in a row ("a" represents Ada, "b," Brenda, and "c," Chad).

There are 6 permutations in which to arrange a, b, c. Therefore, there are 6 ways Ada, Brenda, and Chad can sit in a row.

Factorial

A factorial is a number with a factorial sign ("!") after it.

5! is read "five factorial."

3! is read "three factorial."

See if you can figure out what the factorial sign does to the numbers below:

5! = 5 x 4 x 3 x 2 x 1

3! = 3 x 2 x 1

The factorial of a number is the product of that number and all the whole numbers less than it, stopping at 1.

Use factorials in finding the number of permutations. The number of permutations equals the factorial of the number of objects.

For example, the number of different orders in which you can arrange 4 video tapes on a shelf is 4!

4! = 4 x 3 x 2 x 1 = 24

There are 24 ways to arrange 4 video tapes on a shelf.


Related Discussions:- What is permutations explain with examples

Calculas, Q1: Find three positive numbers whose sum is 54 and whose product...

Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.

Illustrate child ability to perform a math task, Give an example to illustr...

Give an example to illustrate how language incompetence can interfere with a child's ability to perform a task. While setting up a classification activity, a teacher gave the ch

Extended product rule, Extended product rule : As a last topic let's note ...

Extended product rule : As a last topic let's note that the product rule can be extended to more than two functions, for instance.  ( f g h )′ = f ′ gh + f g ′ h+ f g h′ ( f

Calculate the width of the river, A surveyor is hired to calculate the widt...

A surveyor is hired to calculate the width of a river. Using the example provided, Calculate the width of the river. a. 48 ft b. 8 ft c. 35 ft d. 75 ft

Permutation, A train goin from delhi to jaipur stops at 7 intermediate stat...

A train goin from delhi to jaipur stops at 7 intermediate stations. 5 persons enter the train during the journey with 5 difefrent tickets of same class . How mant different set of

How many points did he score during his senior year, Michael scored 260 poi...

Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during his senior yea

Computerised payroll package, How to calculate costs if you have a computer...

How to calculate costs if you have a computerised payroll package for your large business?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd