American Journal of Physics 54(9), pp. 816-817.

**ISSN/ISBN:** 0002-9505
**DOI:** 10.1119/1.14453

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**Abstract:** I answer the question ``Why are there more small things in the world than large things?'' in terms of a probabilisitc model of partitioning a conserved quantity. Benford's empirical rule for lists of numbers, that the proportion of numbers with first digit m is log_{10}(m+1)–log_{10} m, is an exact consequence of the model.

**Bibtex:**

```
@article{,
title={On the numbers of things and the distribution of first digits},
author={Lemons, Don S},
journal={American Journal of Physics},
volume={54},
number={9},
pages={816--817},
year={1986},
publisher={American Association of Physics Teachers},
DOI={http://dx.doi.org/10.1119/1.14453},
}
```

**Reference Type:** Journal Article

**Subject Area(s):** General Interest