1997 AHSME Problems/Problem 24

Problem

A rising number, such as $34689$ , is a positive integer each digit of which is larger than each of the digits to its left. There are $\binom{9}{5} = 126$ five-digit rising numbers. When these numbers are arranged from smallest to largest, the $97^{th}$ number in the list does not contain the digit

$\textbf{(A)}\ 4\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 6\qquad\textbf{(D)}\ 7\qquad\textbf{(E)}\ 8$

1997 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 23	Followed by Problem 25
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1997 AHSME Problems/Problem 24

Problem

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