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    Find the number of integers from 1 to 1,000,000 that have their digits in a nondecreasing order.

    I probably need to use some combinatoric results but I'm not sure how. A hint should get me started.
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    Does it help if you think of each integer as a sequence of numbers instead, where each number in the sequence must be greater or equal to the last?
 
 
 
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Updated: February 11, 2010
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