# SOLUTION: How many different ways can class officers be selected if there are three candidates for President, four candidates for Vice President, and seven candidates for Secretary?

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 Click here to see ALL problems on Permutations Question 631246: How many different ways can class officers be selected if there are three candidates for President, four candidates for Vice President, and seven candidates for Secretary?Answer by KMST(1868)   (Show Source): You can put this solution on YOUR website!I am assuming that no one is running for two or three different positions at the same time. The choices for the three positions are independent. There are 3 ways to chose the President. For each one of those choices, you still have four different ways to choose a Vice President. That gives you ways to chose President plus Vice President. For each of those 12 choices, you still have 7 ways to choose a secretary, so there are ways to chose the set of 3 class officers.