diff --git a/Lib/test/test_set.py b/Lib/test/test_set.py
index 26e38abb21f..46e4000e0fd 100644
--- a/Lib/test/test_set.py
+++ b/Lib/test/test_set.py
@@ -5,6 +5,7 @@ import operator
 import copy
 import pickle
 import os
+from random import randrange, shuffle
 
 class PassThru(Exception):
     pass
@@ -399,6 +400,15 @@ class TestFrozenSet(TestJointOps):
         self.assertEqual(hash(self.thetype('abcdeb')),
                          hash(self.thetype('ebecda')))
 
+        # make sure that all permutations give the same hash value
+        n = 100
+        seq = [randrange(n) for i in xrange(n)]
+        results = set()
+        for i in xrange(200):
+            shuffle(seq)
+            results.add(hash(self.thetype(seq)))
+        self.assertEqual(len(results), 1)
+
     def test_copy(self):
         dup = self.s.copy()
         self.assertEqual(id(self.s), id(dup))