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Mathematics 23 Online
OpenStudy (anonymous):

I pretty confused... Help please??? Elijah forgot his pass code for a certain website. He knows it is made up of 5 digits and no digit can be repeated. If he randomly chooses 5 different digits, what is the probability that he chooses his pass code? Option A: 1/252 Option B: 1/3125 Option C: 1/6048 Option D: 1/30240 Please explain too! Much appreciated! Thanks!

jimthompson5910 (jim_thompson5910):

Are letters included? or just numbers?

OpenStudy (anonymous):

i think it's just numbers cuz it only says digits... :)

jimthompson5910 (jim_thompson5910):

yeah that's what I was thinking too, but I'm not getting any of the answer choices

Parth (parthkohli):

I guess that the number of combinations are 9 * 8 * 7 * 6 * 5 since no digit is repeated.

OpenStudy (anonymous):

So do you know what the answer is? haha and can you please explain? cuz i'm confused :O

Parth (parthkohli):

Maybe I'm wrong....the total number of combinations possible are 15120. So it'd be 1/15120 :/

Parth (parthkohli):

But that isn't in the options

OpenStudy (anonymous):

but it says no digit can be repeated.... maybe that will help? haha idk

jimthompson5910 (jim_thompson5910):

oh wait, I was overthinking lol There are 10 digits for the first slot 9 for the second 8 for the third 7 for the fourth 6 for the fifth Giving you 10*9*8*7*6 = 30240 codes possible

Parth (parthkohli):

I WAS JUST ABOUT TO SAY 10 FOR The first omg

Parth (parthkohli):

You beat me to the race, jim

Parth (parthkohli):

0 is included too.

jimthompson5910 (jim_thompson5910):

Since there is only one way to get the password, the probability is 1/30240

OpenStudy (anonymous):

ohhhhh, i see!!! I get it now... :) thanks!!! So the answer is 1/30240? option D?? and lol @ParthKohli

Parth (parthkohli):

yep

OpenStudy (anonymous):

awesome!! thanks! i totes understand it now :)

jimthompson5910 (jim_thompson5910):

that's great

OpenStudy (anonymous):

and can somebody give @ParthKohli a medal too? I can only give one for some weird reason.. lol thanks!

Parth (parthkohli):

No need

OpenStudy (anonymous):

Thanks for giving @ParthKohli a medal :)

Parth (parthkohli):

Oh thanks jim!

OpenStudy (anonymous):

haha what are the medals for? i don't really get it.. i just know you give it to who helps you.. haha

Parth (parthkohli):

Hmm correct. They are to score the helpfulness of people. Jim is on the highest smartscore possible.

OpenStudy (anonymous):

oh cool! haha :) Thanks you guys :)

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