Permutation

 Permutation

Definition of Permutation:

The arrangement of any finite number of objects or the given numbers in a certain order is called Permutation.

Examples: 

1) In how many ways can three letters A,B and C  be arranged in a row taking all three at a time?

Solution: In order to arrange the given three letters A,B,C taking all three at a time(without repetition)  in the form of row; we have the following three choices to fill up the three letters in the first ,second and third places:

            

Choice for letter in the first place        = 3 ways

Choice for letter in the second place  = 2 ways

Choice for letter in the third place       = 1 way

Now, using the basic principle of counting,

Total no. of ways= 3x2x1

                             = 6 ways 

Hence,three letters A, B and C can be arranged in 6 ways. (Answer) 

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