SOLUTION: How many different groups of 4 officers (president, vice president, treasurer, secretary) can be formed from an organization with 35 members?

Question 1137598: How many different groups of 4 officers (president, vice president, treasurer, secretary) can
be formed from an organization with 35 members?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


These groups are ordered and personalized, so the order is important.

Therefore, we have a deal with permutations, not with combinations.

The answer is   35*34*33*32 = 1256640 different ordered groups.



Everyone of 35 members can be at the president position;

everyone of the remaining 34 members can be at the vice president position,


    . . . and so on . . .

RELATED QUESTIONS
How many ways can a school organization officers consisting of a president, a... (answered by Edwin McCravy)

in how many ways can a president,a vice president,a secretary, and a treasurer be... (answered by solver91311)

A group of stockholders are to elect a president, vice-president, secretary and a... (answered by jim_thompson5910)

A group of stockholders are to elect a president, vice-president, secretary, and a... (answered by edjones)

An 18-member club is choosing its president,vice president,secretary,and treasurer. In... (answered by jim_thompson5910)

How many combinations of a president, vice-president, secretary, and treasurer can be... (answered by ewatrrr)

how many ways can a president, vice-president, treasurer, and secretary be chosen from a... (answered by ikleyn)

From a pool of 16 candidates, the offices of president, vice-president, secretary, and... (answered by Boreal)

A committee of 12 wants to elect a President, Vice President, Secretary and Treasurer... (answered by Alan3354,nerdybill)