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On the student government ballot at Dusable High School, the six candidates for president are listed first, followed by the four candidates for vice president, ending with the five candidates for secretary. In how many ways can the candidates be listed on the ballot?

 Nov 17, 2020
 #1
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6!  ways to list the presidential candidates  = 720

4! ways to list the vice-presidential candidates  = 24

5! ways to list the secreterial candidates = 120

 

So    720 * 24 * 120  = 2,073,600 ways

 

cool cool cool

 Nov 17, 2020
 #2
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Incorrectt Cphill

 Nov 17, 2020
 #3
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I think you can add the fact that the secretary VP and Pres positions can be listed in 6 different orders  (3P3)

 

2,073,600 ways  x 6  =........

 Nov 17, 2020
 #4
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Well maybe not.....since the order is specified in the Q....

Guest Nov 17, 2020

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