What are combinations and permutations in math?

Answer 1

Permutations:-

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

Combinations:-

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

Answer 2

a combination is any ordering of objects in the set.

a permutation is an ordering that has a recognisable order, or meaning within a defined context.

Answer 3

Permutations are derived from a set where order does matter ex.
CAT; CA CT AC AT TA TC

Combinations are derived from a set where order doesn't matter
ex.
CAT; CA CT AT

Answer 4

Can i google this or would that void my answer?

Answer 5

eh.