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How many different four-digit integers greater than $2000$ can be made using each of the four
digits $2$, $0$, $2$, $6$
exactly once?

Pick one

A $6$ B $8$ C $10$ D $7$ E $9$

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Official solution

There are exactly $9$ such
integers. These are: $2026$, $2062$, $2206$, $2260$, $2602$, $2620$, $6022$, $6202$, $6220$.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.