Suppose I had the set {1,2,3} and wanted to make a list of 5 of those elements that contained one element from the set and a pair of duplicates.  For example, (2, 1, 3, 3, 1).  The 2 is the single element and the pair of duplicates is 1,1 and 2,2. How many ways can this be done?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose I had the set {1,2,3} and wanted to make a list of 5 of those elements that contained one element from the set and a pair of duplicates.  For example, (2, 1, 3, 3, 1).  The 2 is the single element and the pair of duplicates is 1,1 and 2,2. How many ways can this be done?

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