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Mathematics 19 Online
OpenStudy (anonymous):

How many three digit numbers have only even digits?

terenzreignz (terenzreignz):

It's all about choice :) Do you consider 0 an even digit?

OpenStudy (anonymous):

ummm..i guess yhu can

terenzreignz (terenzreignz):

It's just multiplying the number of choices you have with each other... Ok, how many choices do you have for the first (hundreds) digit?

terenzreignz (terenzreignz):

Knowing that there are 5 even digits {0,2,4,6,8}

OpenStudy (anonymous):

idk..lol :) i dnt like these problems..im, confused

terenzreignz (terenzreignz):

Ok, while it might seem like you have five choices for your first digit, you actually only have four. :P That's because 0 cannot be your first digit, otherwise, you get a two-digit number. So you have 4 choices for your first digit, how about the second?

OpenStudy (anonymous):

half of them

OpenStudy (anonymous):

what you mean half

OpenStudy (anonymous):

i was wrong, i thought it said "even"

OpenStudy (anonymous):

you have a three digit number and you want only even digits in the entire number right? like \(264\) use the counting principle

OpenStudy (anonymous):

4 possibility for the first digit \(\{2,4,6,8\}\) then for the second digit you have possibilities since you can also have zero, and for third digit you have also 5 choices multiply the number of choices together

OpenStudy (anonymous):

so the answer is 264

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