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`        sir ,What is the main difference between permutation & combination?`
6 years ago

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

All the best.
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Sagar Singh
B.Tech, IIT Delhi

```
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.

```
6 years ago
Aiswarya Ram Gupta
35 Points
```										PermutationSuppose 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 TACombinationWhen 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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