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# There are nothing different slates of candidates possible.

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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

#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

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Oct 27, 2019

#1
+2
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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
+1

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