Monday, August 23, 2010

Permutations:

Today Let us learn about permutations. I guess you are interested in learning on permutation and combination. Here is some simple details to you to understand quickly…

Permutation is the arrangement of elements within a set, suppose we have to form a word  of consisting of three digits using the letters A,B,C, &D, to form this word the digits have to be arranged. Different words will get formed depending upon the order in which we arrange the letters. Also get help from solving algebra problems.

For example: Taking the 4 letters, ABCD, write down all the permutations of 3 of these letters:

ABC BAC CAB DAB
ACB BCA CBA DBA
ABD BAD CAD DAC
ADB BDA CDA DCA
ACD BCD CBD DBC
ADC BDC CDB DCB

There are 24 permutations in this

Below is the permutation formula :  nPr = n!/(n-r)!

              n, r are non negative integers and r<=n.
              r is the size of each permutation.
              n is the size of the set from which elements are permuted.
              ! is the factorial operator.


I hope you liked this piece of writing. Next I will discuss with on the concept of combination.

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