SOLUTION: A group of stockholders are to elect a president, vice-president, secretary and a treasurer from 6 board members who qualify. How many different ways can the officers be elected?
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Question 90526: A group of stockholders are to elect a president, vice-president, secretary and a treasurer from 6 board members who qualify. How many different ways can the officers be elected?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since order does matter, we can use the permutation formula:
Start with the given formula
Plug in and
Subtract to get 2
Expand 6!
Expand 2!
Cancel
Simplify
Now multiply 6*5*4*3 to get 360
So 6 choose 4 (where order does matter) yields 360 unique combinations
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