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

6 years ago

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

6 years ago

Combinationmeans 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.

Permutationmeans 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

notequivalent tot,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

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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