Absolute Subtraction Mistake

Algebra Level 2

Lazy Liz doesn't like absolute values notation, and often drops them from her equations. She always writes

\[ |a-b| = a-b. \]

How many of the \( 11 \times 11 \) ordered pairs of integers \( (a, b) \), each of which are between 0 and 10 inclusive, are there, such that

\[ |a-b| = a-b? \]

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