2001 Pascal Problem 25

A palindrome is a positive integer whose digits are the same when read forwards or backwards. For example, 2882 is a four-digit palindrome and 49194 is a five-digit palindrome. There are pairs of four-digit palindromes whose sum is a five-digit palindrome. One such pair is 2882 and 9339. How many such pairs are there?

\textbf{(A)}\ 28\quad \textbf{(B)}\ 32\quad \textbf{(C)}\ 36\quad \textbf{(D)}\ 40\quad \textbf{(E)}\ 44

If there are no answer choices shown, enter a numerical answer.

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