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Combinatorics

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5-digit Palindromes

COMBIN-K49XYN

A palindrome is a string of symbols that reads the same when written in reverse order. For instance, ABBA and 94949 are palindromes.

How many palindromes are in the list $10000$, $10001$, $10002,$ $\ldots,$ $99999$?

A

$720$

B

$900$

C

$1000$

D

$810$

E

none of the above