We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
179
3
avatar

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

 Mar 20, 2018
 #1
avatar
0

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)

 Mar 20, 2018
 #2
avatar+638 
0

my god! That must have took time and patience,

supermanaccz  Mar 20, 2018
 #3
avatar
0

No! The computer spits them out in a flash!

 Mar 20, 2018
edited by Guest  Mar 20, 2018

13 Online Users