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# Counting question

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How many license plates consist of 3 letters, followed by 2 even digits, followed by 2 letters?

Jun 15, 2022

#1
+2339
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There are 26 choices for each letter, 5 even digits and 26 letters, that make for $$26^3 \times 5^2 \times 26^2 = \color{brown} \boxed{297,034,400}$$ choices.

Jun 15, 2022

#1
+2339
0

There are 26 choices for each letter, 5 even digits and 26 letters, that make for $$26^3 \times 5^2 \times 26^2 = \color{brown} \boxed{297,034,400}$$ choices.

BuilderBoi Jun 15, 2022
#2
0

< 5 even digits >

Is it standard mathematical practice to consider zero an even digit?

I'm not trying to be a smartazz, I mean that as a genuine question.

Guest Jun 16, 2022