2006 AMC 12B Problem 9

How many even three-digit integers have the property that their digits, read left to right, are in strictly increasing order?

\text {(A) } 21 \qquad \text {(B) } 34 \qquad \text {(C) } 51 \qquad \text {(D) } 72 \qquad \text {(E) } 150

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.