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A073531 Number of n-digit positive integers with all distinct digits. 4
9, 81, 648, 4536, 27216, 136080, 544320, 1632960, 3265920, 3265920, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For any base b the number of distinct-digit numbers is finite. For base 10, the maximal distinct-digit number is 9876543210; for any larger number at least two digits coincide. The number of distinct-digit primes is also finite, see A073532.

LINKS

Table of n, a(n) for n=1..13.

Eric Weisstein's World of Mathematics, Digit

FORMULA

a(n) = 9*9!/(10-n)!.

EXAMPLE

a(3)=648 because there are 648 three-digit integers with distinct digits.

MATHEMATICA

Table[9*9!/(10-n)!, {n, 10}]

CROSSREFS

Cf. A073532.

Sequence in context: A213297 A206728 A206857 * A206694 A125910 A171283

Adjacent sequences:  A073528 A073529 A073530 * A073532 A073533 A073534

KEYWORD

base,nonn

AUTHOR

Zak Seidov, Aug 29 2002

STATUS

approved

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Last modified September 1 04:07 EDT 2014. Contains 246282 sequences.