Problem

2002 Cayley Problem 17

A "double-single" number is a three-digit number made up of two identical digits followed by a different digit. For example, 553 is a double-single number. How many double-single numbers are there between 100 and 1000?

\textbf{(A)}\ 81\quad \textbf{(B)}\ 18\quad \textbf{(C)}\ 72\quad \textbf{(D)}\ 64\quad \textbf{(E)}\ 90

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


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