Please help!!!!!! Correct answer gets a medal!!

A website requires a password with 3 capital letters followed by two digits. Neither the digits nor the letters may be repeated.

How many different passwords are possible?

A. 1,404,000

B. 1,560,000

C. 1,581,840

D. 1,757,600

Question

Please help!!!!!! Correct answer gets a medal!!

A website requires a password with 3 capital letters followed by two digits. Neither the digits nor the letters may be repeated. 


How many different passwords are possible?


A. 1,404,000
 
 B. 1,560,000
 
 C. 1,581,840
 
 D. 1,757,600

superdavesuper · Answer

Probability question - first letter, the number of choice is 26....since the second cannot be the same as the 1st, how many choices are there?

anonymous · Answer

@superdavesuper thats the thing i have no idea what or how to do this D:

superdavesuper · Answer

It is not that difficult - you figure out how many choice is available for each letter and digit; then multiple them all together.  So the first letter is 26, how many is there for the second one?

anonymous · Answer

25? Sorry omg i feel really stupid

superdavesuper · Answer

why feel stupid when u just answered correctly and are almost half way to the solution? :)

anonymous · Answer

oh

superdavesuper · Answer

So how many choice for 3ed letter?

anonymous · Answer

24??

superdavesuper · Answer

right on! first digit?

anonymous · Answer

what??

anonymous · Answer

would that be like 2 or something

superdavesuper · Answer

Nope....think - how many numbers are there for a single digit?

anonymous · Answer

1?

superdavesuper · Answer

0,1,2...9 right?

anonymous · Answer

yeah.i was thinking that but i wasnt really sure.

superdavesuper · Answer

Sure u know what u are talking - how many choices for 2nd digit? remember no repeat!

anonymous · Answer

ummmmm 4?? i actually have no idea

superdavesuper · Answer

first digit is 10....cant pick the same no. again so how many choice for 2nd digit?

anonymous · Answer

11?

superdavesuper · Answer

It could only be single digit n remember 1 is already taken as the first digit...

anonymous · Answer

ohhhh ok so it could be 2-9???

superdavesuper · Answer

So the number of choice for 2nd digit is....

anonymous · Answer

2?

superdavesuper · Answer

Nope...first digit has 10 choices so second digit is?

anonymous · Answer

i dont understand omg im sorry

superdavesuper · Answer

Relax - take a deep breath ok? lol U have 0-9 numbers to pick from for the 1st digit. Then when u pick a 2nd digit, which must be different from the 1st, how many choices do u have?

anonymous · Answer

uuugh i dont know. 20?

superdavesuper · Answer

Single digit only 20 numbers will require double digits right?

anonymous · Answer

yeah??

superdavesuper · Answer

How many choice in a single digit?

anonymous · Answer

10 because it could be 0-9, right?

superdavesuper · Answer

Yup - thats true the first time u pick a digit, what happened when u pick again n it must be a different no.?

anonymous · Answer

it would be 2? I'm not really understanding this at all

superdavesuper · Answer

The no. of choice will be 10-1 because 1 of the digits is taken.

anonymous · Answer

okay... so???? what then?

superdavesuper · Answer

so the number of choice for the 2nd digit is 9 ok?

anonymous · Answer

ok

superdavesuper · Answer

26x25x24x10x9....

anonymous · Answer

thank you. omg sorry i was so hard to put up with. i suck at math

superdavesuper · Answer

Important part is u understand how we get the answer :)