Difference between revisions of "2021 AMC 10B Problems/Problem 16"
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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>? | + | Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. For example, <math>1357, 89,</math> and <math>5</math> are all uphill integers, but <math>32, 1240,</math> and <math>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> | <math>\textbf{(A)} ~4 \qquad\textbf{(B)} ~5 \qquad\textbf{(C)} ~6 \qquad\textbf{(D)} ~7 \qquad\textbf{(E)} ~8</math> | ||
Revision as of 17:04, 11 February 2021
Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. For example, 
and 
are all uphill integers, but 
and 
are not. How many uphill integers are divisible by 
?
