SOLUTION: A president, vice president, secretary, and treasurer are to be chosen from among 8 people.Anna, Ben, Clare, Derek, Eric, Jessica, Michael and Martin. No person can hold more than

Algebra ->  Permutations -> SOLUTION: A president, vice president, secretary, and treasurer are to be chosen from among 8 people.Anna, Ben, Clare, Derek, Eric, Jessica, Michael and Martin. No person can hold more than       Log On


   



Question 960035: A president, vice president, secretary, and treasurer are to be chosen from among 8 people.Anna, Ben, Clare, Derek, Eric, Jessica, Michael and Martin. No person can hold more than one office and the treasurer must be a woman. Determine the number of ways the office can be filled. The answer is 630, but I was looking for the steps to solve this problem.
Answer by stanbon(75887) About Me  (Show Source):
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A president, vice president, secretary, and treasurer are to be chosen from among 8 people.Anna, Ben, Clare, Derek, Eric, Jessica, Michael and Martin.
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No person can hold more than one office and the treasurer must be a woman. Determine the number of ways the office can be filled. The answer is 630, but I was looking for the steps to solve this problem.
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Choose the secretary:: 3 ways
Choose the pres:: 7 ways
Choose the V.P.:: 6 ways
Choose the treas:: 5 ways
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Ans: 3*7*6*5 = 21*30 = 630 ways
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Cheers,
Stan H.
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