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Combinatorics 4.0/10

Digits That Never Decrease

How many six-digit positive integers (from 100000 to 999999) have digits that are non-decreasing from left to right, such as 112399 or 555555? Give an integer.

Related problems & prerequisites

Worth solving first

Source: Classic counting exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.