permutation and combination notes
Definitions
Permutation
In permutation, the order of th objects or outcomes is important. Each different order represents a different outcome.
How many ways can the letter X and Y be arranged?
Number of ways to arrange r objects from n objects
n(n-1) (n-2) (n-3) (n-(r-1))
Permutation
In permutation, the order of th objects or outcomes is important. Each different order represents a different outcome.
in permutation the
arrangement is important
for example
There are two ways two different permutation
Combination
In Combinations, we do not arrange the selections in order.
•Arrangement
is not important
xy or yx are same combination
FORMULAS
Permutation
•
Number of ways to arrange n different objects n !
Number of ways to arrange n different objects n !
To arrange 10 different objects = 10!
To arrange
digits 2, 5, 6, 8 = 4
!
To arrange 12 finalists = 12 !
Number of ways to arrange r objects from n objects
Combinations
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