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Well.....I don't know if my answer is actually correct, zegroes.....it's just my "take" on the problem!!!

I guess fossils are faster and smater than dinosaurs........

We can choose any 4 of 26 letters

And we can choose any 3 of 6 numbers

And we have 7! arrangements of these letters and numbers

So we have

C(26,4)* C(6,3) *7! = 1,506,960,000 combinations

Thanks for the points CPhill and Melody!

Melody it wasn't a too bad day neither a too good day!i enjoyed nothing much except of talking , laughing and cracking jokes with my best friend!and if she wouldnt be there i dont know what would have happened to me!

And it was just the first day after the summer break and the teachers have started to scold children from now only but luckily no teacher scolded me (as usual) for i had taken all my holiday homework and taken all the books required!and i got to see some new nice changes in school which was pretty surprising!

and u know what theres a class which is very naughty , and so a camera has been fixed in there class to keep an eye in them!And a new boy has joined our class !he'll have lots to catch up !

So over all it was a fine day (just becoz i talked to my friend otherwise it was terrible and when i returned home i was feeling as if someone had "squeezed " me! lol!)

Well, If the numbers all go first it will be 6^3*26^4

Now if they are all mixed up you are testing me.  Probability is a bit of a joke on this forum.

Now let me see.   there are 7 items in the code. 

I'm going for 7C3*6^3*26^4 = 

$${\left({\frac{{\mathtt{7}}{!}}{{\mathtt{3}}{!}{\mathtt{\,\times\,}}({\mathtt{7}}{\mathtt{\,-\,}}{\mathtt{3}}){!}}}\right)}{\mathtt{\,\times\,}}{{\mathtt{6}}}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{{\mathtt{26}}}^{{\mathtt{4}}} = {\mathtt{3\,454\,738\,560}}$$

It is probably wrong.   I've got other things to do.  See you later!    

Aye, Sir Cphill, this hath the sound of great power, I shall investigate in this inst. this not(quadratic) magick of which ye speak.

Doeth not the Magick of the Quadratic findeth the Zeros?

For now, there be no less than three kittys that needeth my attention. Appeared suddenly they did, not sure from thither they come.

By your leave,

M^-1

Yes Melody if i didnt had a best friend in school , the day would be terrible!And yes it was really hard to concentrate as my eyes were closing and head was aching and it was really hard for me to sit staraight in the class and i hada terrible time after the lunch break which was i think on 11:25 am !but then i went to wash my face and it was then a lil ok after that but i'm not minding this much as i'll get used to it for i'll have a fast everyday and go to school and i'm sure this wont happen everyday!

But in the break i and my friend had a nice time though she was having lunch and i wasnt but we laughed a lot and cracked new jokes and enjoyed and she also told me a new secret of hers so i had a graet time (partially)!

and Zegroes i too remember my childhood incidents especially the insulting ones !lol!

Zegroes = Zebra

English not Australian

http://en.wikipedia.org/wiki/Panda_car

Is this australian slang zebra?????Panda cars!!??

Yes, I am one of a kind!

Yea you got that one right Zegroes.  Did you know that you have been given the sobriquet Zebra by certain people here!  Mmm maybe you will be selling panda cars?

Lol yes its true but i believe the dinosaur is immortal so you know shes probably older than a fossil?????Hmmmmmmm

Yea childhood things are not a problem but

where did I put my pen?  

what day is it today?

What happened yesterday?

These are great mysteries to me!

What do you mean?

Are you going to sell used cars one day Zegroes ?  

Thus....I have just proved to zegroes that "Fossils" are quicker than "Dinosaurs" .......so he'd better be careful!!!!

WOW melody you can remember that FAR back you must have great memory......

You beat me by a minute Chris.   

$$\\6e^x=25\\\\
e^x=25/6\\\\
ln(e^x)=ln(25/6)\\\\
xln(e)=ln(25/6)\\\\
x\;=ln(25/6)$$

$${ln}{\left({\frac{{\mathtt{25}}}{{\mathtt{6}}}}\right)} = {\mathtt{1.427\: \!116\: \!355\: \!640\: \!145\: \!8}}$$

OK....we have

6e^x = 25      divide both sides by 6

e^x = 25/6     take the ln of both sides

ln e^x = ln(25/6)       note.......we can write..... ln e^x as  x lne   and lne = 1   so  x*1  = x

x = ln(25/6) = 1.4271163556401458

Yay! See teamwork guys!

OK, zegroes........the "Fossil" has recognized your accomplishment with 3 points......

Dinosaurs are exinct though well i guess you can say extremley endangered since theres only one left.... Cant count fossil hes already dead!

Ah....your answer was certainly "easier," Anonymous!!!.......but mine was  pretty interesting, too........if I do say so myself !!!