Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of words with restrictions on the number of symbols   We show that, in an alphabet of $n$ symbols, the number of words of length
$n$ whose number of different symbols is away from $(1-1/e)n$, which is the
value expected by the Poisson distribution, has exponential decay in $n$. We
use Laplace's method for sums and known bounds of Stirling numbers of the
second kind. We express our result in terms of inequalities.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th