Question 1192079
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Start at 30 and count down by 1 until three slots are filled.


30 choices for president
29 choices for VP
28 choices for secretary


Then multiply out those items.
There are 30*29*28 = <font color=red>24,360</font> different ways to fill these three positions. Order matters.


Order matters because ABC is different from BAC as shown below<ul><li>ABC means person A is president, B is VP, C is secretary</li><li>BAC means person B is president, A is VP, C is secretary</li></ul>This is just one example.


Since order matters, you can use the nPr permutation formula with n = 30 and r = 3. This is an alternative pathway but the steps mentioned above are an easier route.
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