Difference between revisions of "Mock AIME 5 2005-2006 Problems/Problem 3"
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{{Mock AIME box|year=2005-2006|n=5|source=76847|num-b=2|num-a=4}} | {{Mock AIME box|year=2005-2006|n=5|source=76847|num-b=2|num-a=4}} | ||
| − | [[Category:Introductory Number | + | [[Category:Introductory Number Theory Problems]] |
Latest revision as of 08:14, 19 July 2016
Contents
Problem
A 
number 
, where 
denotes the 
th digit in the base-
representation of 
for 
, is a positive integer with distinct nonzero digits such that 
if 
is even and 
if is odd for 
(and 
). Let 
be the number of four-digit hailstone numbers and 
be the number of three-digit hailstone numbers. Find 
.
Solution
Solution
See Also
| Mock AIME 5 2005-2006 (Problems, Source) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
