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On the student government ballot at Sutter High School, the six candidates for president are listed first, followed by the four candidates for vice president, ending with the four candidates for secretary.  In how many ways can the candidates be listed on the ballot? (You will need a calculator for this problem.)

 Nov 14, 2020
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First you can shuffle the order of the races.....   for intance :    vp  sec   pres     there are   6 ways to do this

then  pres can have    6 P 6 = 720 ways

VP can have                4 P 4 =  24 ways

Sec can have               4 P 4 = 24 ways

 

6 x 720 x 24 x 24 = ..............   ways to list the ballot

 Nov 14, 2020

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