maths permutation and combination
posted by matt .
Your password for a given website is made up of three letters followed by
four numbers. Find the number of possible passwords if there are no
restrictions on what three letters and what four numbers can be used.

Pls check if my answer is correct
26C3*10C4
=26!/(263)!3! . 10!/(104)!4!
= 26*25*24*23!/23!*6 . 10*9*8*7*6!/6!*4*3*2*1
=15600/6 * 5040/24
=2600*210
=546000 
I didn't see that letters or numbers cant be used more than once.
26*26*26*26*10*10*10*10
As I read it AAAA0000 is allowed, your number didn't include those. 
Thanks
Respond to this Question
Similar Questions

maths permutation & combination  answer pls check
Your password for a given website is made up of three letters followed by four numbers. Find the number of possible passwords if there are no restrictions on what three letters and what four numbers can be used. Pls check if my answer … 
math
a book club assigns to each member a membership number that consists of 2 letters followed by 4 numbers. how many different membership numbers are possible. tne membership numbers look like XXxxxx where X are letters and x are letters. 
Algebra
A password consists of three digits, 0 through 9, followed by three letters from an alphabet having 26 letters. If repetition is allowed but repitition of letter is not allowed, determine the # of different passwords that can be made. … 
math
Suppose that the format for license plates in a certain state is two letters followed by four numbers. How many different plates can be made if repetitions of numbers and letters are allowed except that no plate can have four zeros? 
Permutations
A valid password on a Web site contains 3 letters (AZ, 26 total), followed by 3 digits (09). Letters and numbers can be repeated. The number of possible passwords equals _____. A. 26*25*24+10*9*8 B. 26^3+10^3 C. 26^3*10^3 D.26*25*24*10*9*8 
Integrated Math 1
A valid password on a Web site contains 3 letters (AZ, 26 total), followed by 3 digits (09). Letters and numbers can be repeated. The number of possible passwords equals _____. A. 26*25*24+10*9*8 B. 26^3+10^3 C. 26^3*10^3 D.26*25*24*10*9*8 
Permutations
A valid password on a Web site contains 3 letters (AZ, 26 total), followed by 3 digits (09). Letters and numbers can be repeated. The number of possible passwords equals _____. A. 26*25*24+10*9*8 B. 26^3+10^3 C. 26^3*10^3 D.26*25*24*10*9*8 
Math
A student created a 6 character computer password, the password strts with 4 digits, the first of which is he number 3, followed by 2 letters, the firsr of which is a consonant. How many different passwords are possible if repetition … 
Math
A student created a 6 character computer password, the password strts with 4 digits, the first of which is he number 3, followed by 2 letters, the firsr of which is a consonant. How many different passwords are possible if repetition … 
Financial Math
6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible?