Last Activity: 14 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
Last Activity: 14 Years ago
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!!
Last Activity: 14 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
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