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How many different permutations can be formed from numbers [1, 1, 2, 2, 3, 3]. Any help would be appreciated. Thank you.

Guest Mar 20, 2018
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 #1
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There should be: 6! / [2!.2!.2!] = 90 permutations. Here is a list of all of them !!

 

{1, 1, 2, 2, 3, 3} | {1, 1, 2, 3, 2, 3} | {1, 1, 2, 3, 3, 2} | {1, 1, 3, 2, 2, 3} | {1, 1, 3, 2, 3, 2} | {1, 1, 3, 3, 2, 2} | {1, 2, 1, 2, 3, 3} | {1, 2, 1, 3, 2, 3} | {1, 2, 1, 3, 3, 2} | {1, 2, 2, 1, 3, 3} | {1, 2, 2, 3, 1, 3} | {1, 2, 2, 3, 3, 1} | {1, 2, 3, 1, 2, 3} | {1, 2, 3, 1, 3, 2} | {1, 2, 3, 2, 1, 3} | {1, 2, 3, 2, 3, 1} | {1, 2, 3, 3, 1, 2} | {1, 2, 3, 3, 2, 1} | {1, 3, 1, 2, 2, 3} | {1, 3, 1, 2, 3, 2} | {1, 3, 1, 3, 2, 2} | {1, 3, 2, 1, 2, 3} | {1, 3, 2, 1, 3, 2} | {1, 3, 2, 2, 1, 3} | {1, 3, 2, 2, 3, 1} | {1, 3, 2, 3, 1, 2} | {1, 3, 2, 3, 2, 1} | {1, 3, 3, 1, 2, 2} | {1, 3, 3, 2, 1, 2} | {1, 3, 3, 2, 2, 1} | {2, 1, 1, 2, 3, 3} | {2, 1, 1, 3, 2, 3} | {2, 1, 1, 3, 3, 2} | {2, 1, 2, 1, 3, 3} | {2, 1, 2, 3, 1, 3} | {2, 1, 2, 3, 3, 1} | {2, 1, 3, 1, 2, 3} | {2, 1, 3, 1, 3, 2} | {2, 1, 3, 2, 1, 3} | {2, 1, 3, 2, 3, 1} | {2, 1, 3, 3, 1, 2} | {2, 1, 3, 3, 2, 1} | {2, 2, 1, 1, 3, 3} | {2, 2, 1, 3, 1, 3} | {2, 2, 1, 3, 3, 1} | {2, 2, 3, 1, 1, 3} | {2, 2, 3, 1, 3, 1} | {2, 2, 3, 3, 1, 1} | {2, 3, 1, 1, 2, 3} | {2, 3, 1, 1, 3, 2} | {2, 3, 1, 2, 1, 3} | {2, 3, 1, 2, 3, 1} | {2, 3, 1, 3, 1, 2} | {2, 3, 1, 3, 2, 1} | {2, 3, 2, 1, 1, 3} | {2, 3, 2, 1, 3, 1} | {2, 3, 2, 3, 1, 1} | {2, 3, 3, 1, 1, 2} | {2, 3, 3, 1, 2, 1} | {2, 3, 3, 2, 1, 1} | {3, 1, 1, 2, 2, 3} | {3, 1, 1, 2, 3, 2} | {3, 1, 1, 3, 2, 2} | {3, 1, 2, 1, 2, 3} | {3, 1, 2, 1, 3, 2} | {3, 1, 2, 2, 1, 3} | {3, 1, 2, 2, 3, 1} | {3, 1, 2, 3, 1, 2} | {3, 1, 2, 3, 2, 1} | {3, 1, 3, 1, 2, 2} | {3, 1, 3, 2, 1, 2} | {3, 1, 3, 2, 2, 1} | {3, 2, 1, 1, 2, 3} | {3, 2, 1, 1, 3, 2} | {3, 2, 1, 2, 1, 3} | {3, 2, 1, 2, 3, 1} | {3, 2, 1, 3, 1, 2} | {3, 2, 1, 3, 2, 1} | {3, 2, 2, 1, 1, 3} | {3, 2, 2, 1, 3, 1} | {3, 2, 2, 3, 1, 1} | {3, 2, 3, 1, 1, 2} | {3, 2, 3, 1, 2, 1} | {3, 2, 3, 2, 1, 1} | {3, 3, 1, 1, 2, 2} | {3, 3, 1, 2, 1, 2} | {3, 3, 1, 2, 2, 1} | {3, 3, 2, 1, 1, 2} | {3, 3, 2, 1, 2, 1} | {3, 3, 2, 2, 1, 1} (total: 90)

Guest Mar 20, 2018
 #2
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my god! That must have took time and patience,

supermanaccz  Mar 20, 2018
 #3
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No! The computer spits them out in a flash!

Guest Mar 20, 2018
edited by Guest  Mar 20, 2018

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