maths permutation and combination

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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.

  • maths permutation and combination - answer pls check -

    Pls check if my answer is correct

    26C3*10C4
    =26!/(26-3)!3! . 10!/(10-4)!4!
    = 26*25*24*23!/23!*6 . 10*9*8*7*6!/6!*4*3*2*1
    =15600/6 * 5040/24
    =2600*210
    =546000

  • maths permutation and combination -

    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.

  • maths permutation and combination -

    Thanks

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