SOLUTION: From a club of 25 members, how many ways can a president, vice-president, secretary, and treasurer be selected?
which formula is used and does n=25 and r=4?
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Question 149387: From a club of 25 members, how many ways can a president, vice-president, secretary, and treasurer be selected?
which formula is used and does n=25 and r=4?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since order does matter, we must use the permutation formula:
Start with the given formula
Plug in and
Subtract to get 21
Expand 25!
Expand 21!
Cancel like terms.
Simplify
Now multiply 25*24*23*22 to get 303,600
So 25 choose 4 (where order does matter) yields 303,600 unique combinations
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