Why are permutations duplicated with LexicographicPermutations? How to avoid this?

• To: mathgroup at smc.vnet.net
• Subject: [mg54628] Why are permutations duplicated with LexicographicPermutations? How to avoid this?
• From: Valentina Mikel <valentina.mikel at po.htnet.hr>
• Date: Thu, 24 Feb 2005 03:21:32 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```When I enter

LexicographicPermutations[{a, b, 0, 0}]

the result is following:
{{a, b, 0, 0}, {a, b, 0, 0}, {a, 0, b, 0}, {a, 0, 0, b}, {
a, 0, b, 0}, {a, 0, 0, b}, {b, a, 0, 0}, {b, a, 0, 0}, {
b, 0, a, 0}, {b, 0, 0, a}, {b, 0, a, 0}, {b, 0, 0, a}, {
0, a, b, 0}, {0, a, 0, b}, {0, b, a, 0}, {0, b, 0, a}, {
0, 0, a, b}, {0, 0, b, a}, {0, a, b, 0}, {0, a, 0, b}, {
0, b, a, 0}, {0, b, 0, a}, {0, 0, a, b}, {0, 0, b, a}}

Why does the result repeat duplicate cases?
In my case I must perform exact functionality of
LexicographicPermutations[{0,C,D,0,G,H,J,0,0,P,0,0,T,V,0,X,Y,0,0,4,0,7,8,0}];
since there are lots of duplicates I'm trying to implement this in C++
for maximum speed.

Can this be avoided in Mathematica itself, and how?

```

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