Difference between revisions of "1991 AHSME Problems/Problem 26"

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== Solution ==
 
== Solution ==
<math>\fbox{}</math>
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<math>\fbox{C}</math>
  
 
== See also ==
 
== See also ==

Revision as of 15:57, 28 September 2014

Problem

An $n$-digit positive integer is cute if its $n$ digits are an arrangement of the set $\{1,2,...,n\}$ and its first $k$ digits form an integer that is divisible by $k$ , for $k  = 1,2,...,n$. For example, $321$ is a cute $3$-digit integer because $1$ divides $3$, $2$ divides $32$, and $3$ divides $321$. Howmany cute $6$-digit integers are there?

Solution

$\fbox{C}$

See also

1991 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 25
Followed by
Problem 27
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