maths permutation and combination

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.

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  3. 👁 27
asked by matt
  1. 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

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    posted by matt
  2. 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.

  3. Thanks

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    posted by matt

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