In permutations the order of the elements does matter. In combinations it does not.So, the permutations 1,2,3 and 3,1,2 are not the same. But they are the same combination.
"Permutations" do consider the order. If you want the order ignored, then you're looking for "combinations". 3-digit permutations, repetition allowed: 9 x 9 x 9 = 729 3-digit permutations, no repetition: 9 x 8 x 7 = 504 3-digit combinations, no repetition = 504/6 = 84.
An instance which is different from the instance before. Windows 7 and Windows Vista are different permutations of the same product.
3x2x1=6 permutations.
There are 120 permutations and only 1 combination.
If repetition is allowed and order is important, then you have essentially a base-4 number system, with the numbers ranging from 00004 to 33334. The quantity of permutations in this example is 44 = 256. If repetition is not allowed, but order is important, then it is 4! = 24. * * * * * The above answer is perfectly correct. But, as stated in the answer, for permutations. However, according to the mathematical definition of combinations (as opposed to permutations), the order is irrelevant to combinations. 1234 is the same as 1423 or 4213 etc. Consequently, there can be only one 4-number combination from 4 numbers
In permutations the order of the elements does matter. In combinations it does not.So, the permutations 1,2,3 and 3,1,2 are not the same. But they are the same combination.
"Permutations" do consider the order. If you want the order ignored, then you're looking for "combinations". 3-digit permutations, repetition allowed: 9 x 9 x 9 = 729 3-digit permutations, no repetition: 9 x 8 x 7 = 504 3-digit combinations, no repetition = 504/6 = 84.
An instance which is different from the instance before. Windows 7 and Windows Vista are different permutations of the same product.
Not quite. Number of combinations is 20, number of permutations is 10. Any 2 from 5 is 10 but in any order doubles this.
A permutation is an arrangement of objects in some specific order. Permutations are regarded as ordered elements. A selection in which order is not important is called a combination. Combinations are regarded as sets. For example, if there is a group of 3 different colored balls, then any group of 2 balls selected from it will be considered as a combination, whereas the different arrangements of every combination will be considered as a permutation.
If order matters, it is a permutation. If the order doesn't matter, then it is a combination. like the person says if the word problem says anything about a GROUP its combination but if it says anything about order, lines, places, 1st, 2nd or ,3rd then it is permutations
Permutation is when order matters, combination is when order does not matter
3x2x1=6 permutations.
There are 8! = 40320 permutations.
The only difference is that in a permutation the order of the elements matters whereas in a combination it does not.
It depends on whether the order of the numbers is important or not. For example, if 123456 is seen as a different code to 213456 then there are many more possible solutions.If the order is unimportant, the number of possible combinations is equal tobinomial coefficient(15,6) = 5005If the order is important, then the number of possible permutations is equal to15! = ~1.3x1012