SOLUTION: 12 individuals are part of a group of trustees of a particular company. There are 5 positions that need to be filled on the board. How many different ways can the board positions

SOLUTION: 12 individuals are part of a group of trustees of a particular company. There are 5 positions that need to be filled on the board. How many different ways can the board positions

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Question 342821: 12 individuals are part of a group of trustees of a particular company. There are 5 positions that need to be filled on the board. How many different ways can the board positions be filled?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Given the 5 questions selected there are 5! = 120 arrangements.
But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792

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