Difference between revisions of "1992 AIME Problems/Problem 15"
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== Problem == | == Problem == | ||
| + | Define a positive integer <math>n^{}_{}</math> to be a factorial tail if there is some positive integer <math>m^{}_{}</math> such that the decimal representation of <math>\displaystyle m!</math> ends with exactly <math>\displaystyle n</math> zeroes. How many positiive integers less than <math>\displaystyle 1992</math> are not factorial tails? | ||
== Solution == | == Solution == | ||
Revision as of 21:46, 10 March 2007
Problem
Define a positive integer 
to be a factorial tail if there is some positive integer 
such that the decimal representation of 
ends with exactly 
zeroes. How many positiive integers less than 
are not factorial tails?
Solution
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