The Different arrangements of a given numbers of things by taking some or all at a time are called permutation.

Factorial notation: Let n be positive integers. Then the factorial of n is denoted by n! And is defined as: n!= n(n-1)(n-2).......3.2.1

Example:

(i) 5!= (5*4*3*2*1)=120

(ii) 6!=(6*5*4*3*2*1)=720

Number of all permutations of n things, taken r at a time is given by:

nP_{r}= n(n-1)(n-2)....(n-r+1)= n!/(n-r)!

Example:

6P2 = (6*5) = 30

Cor. Number of all permutations of n things, taken all at a time =n!

- They form a group when we use the operation "followed by."
- Understanding them helps to solve Rubik's Cube.
- There is a theorem due to Arthur Cayley that says that every group is isomorphic to a permutation group.
- Permutations are everywhere whether we know it or not.

If there are n objects of which P1 are alike of one kind, P2 are alike another kind, P3 are alike of third kind and so on and Pr are alike of rth kind, such as (P1+P2+P3....+Pr) =n.

Thus, number of permutations of these n objects is:

n!/((P1!).(P2!)….(Pr!))

Assignment Writing Help

- Science Assignment Help
- Math Assignment Help
- Chemistry Assignment Help
- Physics Assignment Help
- Biology Assignment Help
- Psychology Assignment Help
- History Assignment Help
- Geography Assignment Help
- English Assignment Help
- Humanities Assignment Help
- Nursing Assignment Help
- Social Science Assignment Help
- Arts and Architecture Help
- Statistics Assignment Help
- Law Assignment Help
- Computational Mathematics Assignment Help

Engineering Assignment Services

- Programming Assignment Help
- Database Help
- Data Structure Assignment Help
- Operating Systems Assignment Help
- Computer Network Assignment Help
- UML Diagram Assignment Help
- IT Assignment Help
- Game Programming Help
- Computer Science Assignment Help
- Information Systems Assignment Help
- Chemical Engineering Assignment Help
- Civil Engineering Assignment Help
- Electrical, Electronics Help
- Mechanical Engineering Assignment Help
- Petroleum Engineering Assignment Help
- Biochemical and Biotechnology Help

Do My Assignment Help

- Accounting Assignment Help
- Finance Assignment Help
- Economics Assignment Help
- Marketing Assignment Help
- Human Resources Assignment Help
- Operations Management Assignment Help
- Strategy and Planning Help
- Project Management Help
- Case Studies Writing Help
- Political science
- Referencing Help
- Assignment Help Websites
- Online Assignment Help
- Do My Assignment
- Do My Homework

Write My Essay Services

- Essay Writing Help
- Business Essay Writing Help
- Assignment Writing Services
- Plagiarism Free Essay Writing
- Essay Editing Service
- Dissertation Writing Services
- Thesis Writing Help
- Custom Writing Help
- Write My Essay
- Write My Paper
- Paper Writing Service
- Academic Writing Help
- College Essay Writing
- Cheap Essay Writing