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Journal Article

An Observation on the Significant Digits of Binomial Coefficients and Factorials

B. P. Sarkar
Sankhyā: The Indian Journal of Statistics, Series B (1960-2002)
Vol. 35, No. 3 (Sep., 1973), pp. 363-364
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Page Count: 2

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Topics: Binomial coefficients, Factorials, Proportions, Statistical tables
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The distribution of the first significant digit has been the subject of a number of papers, both empirical and theoretical. Because binomial coefficients and factorials may (in theory) be generated by a multiplicative process one would anticipate that in table of either, the fraction of entries beginning with a first significant digit of A would be approximately log $10\frac{A+1}{A}$. This is borne out by the tables in the paper.

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