are distributed ``randomly'' in the
slab 
, we can allow a larger value of 
. Suppose that 
with 
, so the volume 
of 
satisfies 
and hence, as in .2, 
contains 
points of the lattice 
. Now suppose that the points
are randomly chosen from these 
points.
Then, by the ``birthday paradox'' we will have 
for some 
with probability tending to 1 as 
. That is, the probability that n
randomly selected points among 
are distinct is
as 
since 
.
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