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.)

Guest 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

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Guest Oct 27, 2019

#1**+1 **

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

OlympusHeroes Oct 27, 2019

#2**+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