Combinations- A Combination is a order of numbers where the order does not matter
A combination lock is a perfect example of a Permutation as it is three order number line where the numbers have to be in the right order to open the lock.
If your combo is 23-67-9 you can only put it in as this order if you put 67-23-9 the numbers are the same but the order is not making it impossible to open your locker.
The order through which you put fruit into a smoothie is a combination
If Apples are 1
Banannas are 2
Peaches are 3
The order can go many ways
123
132
321
213
231
312
In other words a permutation is an ordered combination
The above formula is for Permutations without repitition the below fomule is for combinations without repitition.
where n is the number of things to choose from, and you choose r of them (Order does not matter) |
For things where repitition is allowed the formulas are as follows
Permutations is simply N to the exponent R where N is the number of things to choose from and R is how many you will choose
Combinations where repitition is allowed is shown as the formula below
where n is the number of things to choose from, and you choose r of them
(Repetition allowed, order doesn't matter)
(Repetition allowed, order doesn't matter)
All information was taken from the link below the above descriptions and formulas are a short sumamry of the site the site as well provides real world examples
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