Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question.

A club with 27 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Question

Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question.

A club with 27 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

ganeshie8 · Answer

check if the order of selection matters or not

ganeshie8 · Answer

suppose u pick below candidates :

`p, v, s, t, h`

ganeshie8 · Answer

`p` becomes president
`v` becomes vice president
`s` becomes secretary
`t` becomes treasurer
`h` becomes historian

in that order, so if u think a bit you will see that order actually matters in this situation as changing the order changes the roles of persons.

ganeshie8 · Answer

@precious32

anonymous · Answer

yes, im here

anonymous · Answer

permutation

ganeshie8 · Answer

Great !

ganeshie8 · Answer

rest is trivial, simply use the premutation formula

27 pick 5 :

$\large  _{27}P_5 $

ganeshie8 · Answer

use below formula http://math.kendallhunt.com/Images/DynamicExplorations/daa1/Pformula.gif