GAUSS7 2024 Problem 24

A three-digit integer is an integer from 100 to 999, inclusive. A three-digit integer is called Tiny if no rearrangement of its digits gives a three-digit integer that is smaller. For example, 138, 207 and 566 are Tiny, but 452, 360 and 727 are not. How many three-digit integers are Tiny?

Answer Choices
A. 255
B. 201
C. 212
D. 234
E. 219