2005 iTest Problems/Problem 3
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Problem
Carrie, Miranda, Charlotte, and Samantha are sitting at a table with 
numbered chairs (numbered 
through ). One chair is left open for Big, should he decide to join the four for lunch. In how many distinct ways can the four women occupy the table?
Solution 1
We have to arrange 5 elements in a row. These are Carrie, Miranda, Charlotte, Samantha, and the empty seat. Since there are five things to arrange, our answer is 
