AoPSWiki
Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.
Personal tools

2007 Alabama ARML TST Problems/Problem 5

From AoPSWiki

Problem

How many positive 5-digit odd integers are palindromes?

Solution

The units digit must be odd, and the ten-thousands digit must be equal to the units digit. So there are 5 possible choices there. Then there are ten choices for the tens and hundreds digits, but the thousands digit is fixed. Therefore there are 5 \cdot 10 \cdot 10=\boxed{500} 5-digit odd palindromes.

See also

2007 Alabama ARML TST (Problems)
Preceded by:
Problem 4
Followed by:
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us