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.)
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
.
+2 I'm not sure what "slates of candidates" means, but I think this is just 28 choose 4 = 20475.
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
.
