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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, followed by the five candidates for secretary and ending with the three candidates for treasurer. In how many ways can the candidates be listed on the ballot?

Apr 19, 2018

#1
+18329
+2

There are 18 candidates in all....if they are listed in any order without regard to the office for which they are running

18P18 = 6.40237 x 10^15 ways

Apr 19, 2018
#3
+18329
+1

Melody's answer is correct WITH groupings

6! 4! 5! 3!

= 24883200

ElectricPavlov  Apr 19, 2018
#2
+101768
+2

gueesstt.

Please do not vote answerers down, especially not without given them an explanation.

The answer is wrong but I expect our guest was just trying to help.

It is up to the asker to decide whether to accept the answer.

But you should not punish someone for trying to help.

On the student government ballot at Dusable High School,

the six candidates for president are listed first,          6!

followed by the four candidates for vice president,    4!

followed by the five candidates for secretary              5!

and ending with the three candidates for treasurer.    3!

In how many ways can the candidates be listed on the ballot?

now multiply all those together.

Apr 19, 2018
#4
+603
+1

sorry, thank you

gueesstt  Apr 20, 2018