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