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a. Find the number of ways to arrange the three letters in the word CAT in...

a. 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.

b. Three members from the group of 12 on the board of directors at Belford Community Hospital will be selected to go to a convention with all expenses paid. How many different groups of 3 are there?

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