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 |