GeekDad Puzzle of the Week Solution: Carets and Vees

Congratulations to everyone that sent in a correct response for this past' Mondays Geekdad Puzzle of the Week, "Carets and Vees." Here is the puzzle as presented:
For your shot at this week?s $50 ThinkGeek gift certificate, send in the count of counting numbers less than 2 million that are carets and vees. Carets are numbers that increase initially and then decrease, increasing and decreasing for at least one digit, and only "bouncing" one time. Repeated digits are acceptable in determining an increasing or decreasing sequence, i.e., 12231 is a caret, as is 1221, but 1233 and 1335 are not. Vees are the mirror image of carets, save that they initially decrease and later increase, with the same ability to utilize repeated digits, and the same restriction on having exactly one "bounce."

Source: http://www.wired.com/geekdad/2012/05/solution-carets-and-vees/

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