Three-digit numbers

How many are all three-digit numbers that are made up of digits 0,2,5,7 and are divisible by 9 if the digits can be repeated?

Correct answer:

n =  7

Step-by-step explanation:

$$\begin{gathered} s_1=2+7+0=9 \\ {s}_2=2+2+5=9 \\ {s}_1\mathrm{m}\mathrm{o}\mathrm{d}9=0 \\ {s}_2\mathrm{m}\mathrm{o}\mathrm{d}9=0 \\ 270,720,207,702,225,252,522 \\ n=4+3=7 \end{gathered}$$

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