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
Consider two bags, A and B, with the following contents a)    A single marble is drawn from each bag. What is the probability of getting a white marble out of Bag A and a red marb

Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?

If the side of a square can be expressed as a2b 3 , what is the area of the square in simplified form? Since the formula for the area of a square is A = s 2 , then by substitut

There are 6 contestants for the post of chairman secretary and treasurer. These positions can be filled by any of the 6. Find the possible no. of ways whether the 3 positions may b

Temperature: On one day in Fairfield, Montana the temperature dropped 80 degree fahrenheit from noon to midnight. If the temperature at midnight was -21 degree fahrenheit, write an

Imagine a time in history when the number system had not yet evolved a farmer needed to keep track of his cattle. What would he do to figure out whether his entire rattle returned

Classical Probability Consider the experiment of tossing a single coin. Two outcomes are possible, viz. obtaining a head or obtaining a tail. The probability that it is a tail

identify the range of h(x)=2x+1

how will the decimal point move when 245.398 is multiplied by 10

1. Let A = {1,2, 3,..., n} (a) How many relations on A are both symmetric and anti-symmetric? (b) If R is a relation on A that is anti-symmetric, what is the maximum number o