SOLUTION: A chair and a co-chair are to be chosen from a group consisting of 31 people. How many different choices of officers are possible if A and B will not serve together?
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Question 1145876: A chair and a co-chair are to be chosen from a group consisting of 31 people. How many different choices of officers are possible if A and B will not serve together? Answer by ikleyn(52780) (Show Source):
31 choice options for the first position, and
30 remaining choice options for the second position.
The order is important, so these items are PERMUTATIONS.
The answer is 31*30 = 930 different choices.