The following combinations of capital letters "C", lower case letters
"l", and digits "d" are possible:

C l d  Number possible
3 3 4  10C3 * 26^3 * 7C3 * 26^3 * 4C4 * 10^4
3 4 3  10C3 * 26^3 * 7C4 * 26^4 * 3C3 * 10^3
3 5 2  10C3 * 26^3 * 7C5 * 26^5 * 2C2 * 10^2
4 3 3  10C4 * 26^4 * 6C3 * 26^3 * 3C3 * 10^3
4 4 2  10C4 * 26^4 * 6C4 * 26^4 * 2C2 * 10^2
5 3 2  10C5 * 26^5 * 5C3 * 26^3 * 2C2 * 10^2

Add them up to get the total number of passwords. Plugging the values
of C, l, and d into an Excel spreadsheet and using the COMBIN(n,k)
function for the binomial coefficients gives the total number of
passwords as 251,471,033,958,144,000.


Dave

On Feb 9, 7:46 am, snehal jain <[email protected]> wrote:
> how many passwords can be made if
> 1. there should be atleast 3 capital letters
> 2. atleast 3 small letters
> 3. atleast 2 numbers 0-9
> 4 the password should has length=10

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