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Mathematics 8 Online
OpenStudy (anonymous):

A valid password on a Web site contains 2 letters (A-Z, 26 total), followed by 4 digits (0-9). Letters and numbers can be repeated. The number of possible passwords equals @terenzreignz

OpenStudy (anonymous):

Education first lol

terenzreignz (terenzreignz):

There was no need for this... I'm pretty sure there is an "edit question" option ... not that I'd know :P

OpenStudy (anonymous):

Ya know what... lol at least I took the choices out aha

terenzreignz (terenzreignz):

Anyway, you know, this is almost the same as that computer thingy problem... it's just that we renamed some stuff... So, 6 character password, first two are letters... For the first char, how many choices do you have?

OpenStudy (anonymous):

6 ?

terenzreignz (terenzreignz):

No... I mean, just the first character...which should be a letter, how many possibilities are there?

OpenStudy (anonymous):

2

terenzreignz (terenzreignz):

You're just not getting this are you? First character is a letter... so it can be A right?

OpenStudy (anonymous):

nahh TJ numbers and what not don't do me right lol but yeah it could be A - Z right?

terenzreignz (terenzreignz):

Yes... so it could be A-Z... and those are how many? XD

OpenStudy (anonymous):

26! >:D

terenzreignz (terenzreignz):

Since we're dealing with these combinatorics, I will be rather sensitive to your use of the "!" symbol... you know it means factorial, strictly speaking XD

OpenStudy (anonymous):

Ohhh yeah my bad. Here 26 *non-mathematical explanation point*

terenzreignz (terenzreignz):

But yeah, twenty-six choices for the first char, and for each of these possibilities, how many choices for the second char (which should also be a letter) ?

OpenStudy (anonymous):

If the second character is a letter as well wouldn't it be 26 choices also?

terenzreignz (terenzreignz):

Yup... So, 26 choices for the first char, and for each of these 26 choices, you get 26 choices for the second char.. that amounts to how many?

OpenStudy (anonymous):

54

OpenStudy (anonymous):

52**

terenzreignz (terenzreignz):

Not even close :P

OpenStudy (anonymous):

You don't add them together?

terenzreignz (terenzreignz):

AA, AB, AC, AD ... AZ <---- these are already 26 possibilities for the first two chars... BA, BB, BC, BD ... BZ <----- 26 more... that makes 52... But what about CA, CB, CC ... etc? 52? Not even close XD

OpenStudy (anonymous):

That's a sh*t load of possibilities lol

terenzreignz (terenzreignz):

Yes.. indeed... and I WILL emphasise that 52 is not even close... Let me demonstrate it in a simpler fashion: How many two digit numbers can you from with the digits 1,2, and 3?

OpenStudy (anonymous):

*shrugs shoulders in hopeless confusion*

terenzreignz (terenzreignz):

I gave you only three digits so that you can actually manually count them... <baby talk voice> Let's count them one-by-one!!! 11, 12, 13, 21, 22, 23, 31,32,33... that makes NINE!!!

OpenStudy (anonymous):

Ohhhhh lol!!! Excuse my slow self PLEASE ughh

terenzreignz (terenzreignz):

Okay, so, when you have 26 choices for the first letter and 26 more for the second letter, then the that means...?

OpenStudy (anonymous):

Wait, so would it be 26 x 26? 0.o

terenzreignz (terenzreignz):

I suspect a guess.

terenzreignz (terenzreignz):

Is it?

OpenStudy (anonymous):

It's a educated hypothesis :D

OpenStudy (anonymous):

Yes

terenzreignz (terenzreignz):

Well then, *justify* it.

OpenStudy (anonymous):

Can you hold on I'll brb

terenzreignz (terenzreignz):

Not for long... :D

OpenStudy (anonymous):

Hey you there?

terenzreignz (terenzreignz):

For the moment.

terenzreignz (terenzreignz):

So... thought long and hard yet?

OpenStudy (anonymous):

676 0.o

terenzreignz (terenzreignz):

I know that, my question was WHY it's 26 x 26

terenzreignz (terenzreignz):

After all, I need to be sure you weren't just guessing ;)

OpenStudy (anonymous):

To be honest I was guessing lol but it's because there are 26 letters in the alphabet

terenzreignz (terenzreignz):

This isn't healthy, you know... :/

terenzreignz (terenzreignz):

For the first char, if you pick a specific letter, you can pick one of 26 letters to be the second char, right?

OpenStudy (anonymous):

Lmfaooo I know why I just can't explain it! ergg

OpenStudy (anonymous):

Right

terenzreignz (terenzreignz):

Try.

OpenStudy (anonymous):

Ok so like you said for every first char you have 26 options as well as 26 options for th second

terenzreignz (terenzreignz):

So? (Don't take my demand for an explanation the wrong way, I need you to actually understand how it works because, well, you guessed, and I should like to point out that your *first guess* was (sorry) not even close, and if you're going to be guessing, it's the first guess that determines whether you get it right or wrong....)

OpenStudy (anonymous):

I understand where you're coming from

OpenStudy (anonymous):

Honestly I know it it isn't a guess I just really can't explain it lol

terenzreignz (terenzreignz):

I suggest you take a look at that computer question again...

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