Permutation and Combination

PERMUTATION AND COMBINATION

Permutation   :      Certain number of objects that can be arrange in order from a large number of objects in different number of ways.
                              It is an ordered group/list or an order is important.
Keyword         :      Arrangement

Combination   :     Certain number of objects in a group that can be selected from a large number of objects in different number of ways.
                             It is an un-ordered group/list
Keyword         :     Selection, Election, Choice


FORMULA

Key:-                 n = Number selected     N = Total number     ! = Factorial     

Permutation   :

                                    

Example: How many ways can you arrange these 5 objects?



n = none     N = 5






Combination   :

                                  

Example: How many can you arrange these 5 fruits picking 3 at a time?



n = 3     N = 5





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