2021 AMC 10B Problems/Problem 16: Difference between revisions
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Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. For example, <math>1357, 89, and 5</math> are all uphill integers, but <math>32, 1240, and 466</math> are not. How many uphill integers are divisible by <math>15</math>? | |||
<math>\textbf{(A)} ~4 \qquad\textbf{(B)} ~5 \qquad\textbf{(C)} ~6 \qquad\textbf{(D)} ~7 \qquad\textbf{(E)} ~8</math> | |||
Revision as of 16:01, 11 February 2021
Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. For example, 
are all uphill integers, but 
are not. How many uphill integers are divisible by 
?
