SOLUTION: using permutations, how many two letter groups can you get using the word CAT?

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Question 937902: using permutations, how many two letter groups can you get using the word CAT?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
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 written as 3P2
3P2=n%21%2F%28n-r%29%21
3P2=3%21%2F%283-2%29%21
3P2=%283%2A2%2A1%29%2F1
3P2=3%2A2%2A1
3P2=6 - the number of permutations of size 2 that can be taken from a set of size 3
We can list them as:
CA+ CT AC AT TC TA