I know, only in this case, using the third method in 7.0 with an array of 10,000 elements leaves 1300-1400 of the elements in their original locations, which is a rather large margin of error (13 percent). Since this method is based on the random number generator and the number is around this range every time I run the VI it seems reasonable to assume that this is a property of the random number generation which is reflected through using this method.
The method suggested by Guenther is fast, random and elegant and appears to be the best solution.
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