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Grade: 11

                        

sir ,What is the main difference between permutation & combination?

9 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

 

Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

9 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!!

9 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

9 years ago
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