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hitesh netam Grade: 11
        sir ,What is the main difference between permutation & combination?
6 years ago

Answers : (3)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear hitesh,


Permutation
Suppose we want to find the number of ways to arrange the three letters in the word CAT in different two-letter groups where CA is different from AC and there are no repeated letters.

Because order matters, we're finding the number of permutations of size 2 that can be taken from a set of size 3. This is often written 3_P_2. We can list them as:

CA CT AC AT TC TA

Combination
When we want to find the number of combinations of size 2 without repeated letters that can be made from the three letters in the word CAT, order doesn't matter; AT is the same as TA. We can write out the three combinations of size two that can be taken from this set of size three:

CA CT AT


 













































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6 years ago
Ritvik Gautam
85 Points
										

Combination means selecting a particular number of things from a larger group of things. In this, the order of selection does not matter.


That is, if i select,


r,g,t,y,d


is equivalent to


t,y,r,d,g


as the order of selection does not matter.


 


Permutation means selecting a particula number of things from a larger groups of things and then re-arranging them. In this, the order of selection matters.


That is,


r,g,t,y,d


is not equivalent to


t,y,r,d,g


as re-arranging the alphabets a new permutation is formed.


 


So, the basic difference is that in combination there is not arrangement, while in permutation there is arrangement.


 


 


 


Please Approve!!

6 years ago
Aiswarya Ram Gupta
35 Points
										

Permutation
Suppose we want to find the number of ways to arrange the three letters in the word CAT in different two-letter groups where CA is different from AC and there are no repeated letters.

Because order matters, we're finding the number of permutations of size 2 that can be taken from a set of size 3. This is often written 3_P_2. We can list them as:

CA CT AC AT TC TA

Combination
When we want to find the number of combinations of size 2 without repeated letters that can be made from the three letters in the word CAT, order doesn't matter; AT is the same as TA. We can write out the three combinations of size two that can be taken from this set of size three:

CA CT AT

6 years ago
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