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An archaeology club has 28 members. How many different ways can the club select a​ president, vice​ president, treasurer, and​ secretary? There are nothing different slates of candidates possible. ​(Simplify your​ answer.)

 Oct 27, 2019

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 #2
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An archaeology club has 28 members. How many different ways can the club select a​ president, vice​ president, treasurer, and​ secretary?   

 

Another way to look at it is that there are 28 members who could be chosen for president.        28                 =  28

That leaves 27 members remaining from which to choose the vice president.                             27 x 28         =  756

That leaves 26 members remaining from which to choose the treasurer.                                     26 x 756       =  19,656

And finally, there are 25 members left from which to choose the secretary.                                  25 x 19,656  =  491,400

.

 Oct 27, 2019
 #1
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I'm not sure what "slates of candidates" means, but I think this is just 28 choose 4 = 20475.

 Oct 27, 2019
 #2
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+1
Best Answer

 

 

An archaeology club has 28 members. How many different ways can the club select a​ president, vice​ president, treasurer, and​ secretary?   

 

Another way to look at it is that there are 28 members who could be chosen for president.        28                 =  28

That leaves 27 members remaining from which to choose the vice president.                             27 x 28         =  756

That leaves 26 members remaining from which to choose the treasurer.                                     26 x 756       =  19,656

And finally, there are 25 members left from which to choose the secretary.                                  25 x 19,656  =  491,400

.

Guest Oct 27, 2019

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