Permutation, Mathematics

Permutation

- It is an order arrangement of items whether the order must be strictly observed

Illustration

Assume x, y and z be any of three items. Arrange these in all possible permutations

6_Permutation.png

NB: The above 6 permutations are the maximum one can ever acquire in a situation whereas there are only 3 items however if the number of items exceeds 3 then determining the number of permutations by outlining as done above may be cumbersome. Thus we use a special formula to find out such permutations. The formula is specified below

The number of permutations of 'r' items taken from a sample of 'n' items may be given as nPr =(n!)/((n - r)! )           

whereas; ! = factorial

For illustration

i. 3P3 =(3!)/((3 - 3)! )

= (3 * 2 * 1) / )0!               Note that  0! = 1

6/1 = 1

ii. 5P3 = (5!)/((5 - 3)! )     

 = (5 * 4 *3 * 2 * 1) / )1 * 2    

= 60

iii. 7P5 =          (7!)/((7 - 5)! )

= (7 * 6 *5 * 4 *3 * 2 * 1) / )1 * 2

= 5040/2

= 2520

Posted Date: 2/20/2013 4:35:22 AM | Location : United States







Related Discussions:- Permutation, Assignment Help, Ask Question on Permutation, Get Answer, Expert's Help, Permutation Discussions

Write discussion on Permutation
Your posts are moderated
Related Questions
The first section of a newspaper has 16 pages. Advertisements take up (3)3/8 of the pages. How many pages are not advertisements? Subtract the number of pages of advertisements

The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(

how do you find the tan, sin, and cos.

Example   Evaluate following limits. Solution Here our first thought is probably to just "plug" infinity into the polynomial & "evaluate" every term to finds out the

If a pair of dice is thrown and X denotes the sum of the numbers on them. Find the probability distribution of X.Also find the expectation of X.     SOLUTION:    In a singl


Example1 :  Solve the subsequent system of equations. -2x 1 + x 2 - x 3 = 4 x 1 + 2x 2 + 3x 3   = 13 3x 1 + x 3 = -1 Solution The initial step is to write d

limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

Explain this statement " As we begin the 21st century, the dilemmas of America's minority groups remain perhaps the primary unresolved domestic issue facing the nation." How might