There is only a 0.1% chance of this happening as well.
source
Here are the odds for each seed to get specific picks if there were no ties (rounded to 3 decimal places):
Seed Chances 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th 13th 14th
1 250 .250 .215 .178 .357
2 199 .199 .188 .171 .319 .123
3 156 .156 .157 .156 .226 .265 .040
4 119 .119 .126 .133 .099 .351 .160 .012
5 88 .088 .097 .107 .261 .360 .084 .004
6 63 .063 .071 .081 .439 .305 .040 .001
7 43 .043 .049 .058 .599 .232 .018 .000
8 28 .028 .033 .039 .724 .168 .008 .000
9 17 .017 .020 .024 .813 .122 .004 .000
10 11 .011 .013 .016 .870 .089 .002 .000
11 8 .008 .009 .012 .907 .063 .001 .000
12 7 .007 .008 .010 .935 .039 .000
13 6 .006 .007 .009 .960 .018
14 5 .005 .006 .007 .982
e:i'm too lazy to format that shitstorm