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A financial services company enforce a password system for their cloud application such that all passwords must consist of 10 alphanumerics. More precisely, passwords must contain 6 lower case letters and 4 digits in any order without repetition. How many different passwords are possible using this system?

My way of calculating this is

26P6 which cover the 6 lower case letters

10P4 which cover the digits

26P6 * 10P4 = 8.35458...*10

Liam
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1 Answers1

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You need an additional factor of ${10}\choose{6}$ corresponding to selecting slots for the letters.

paw88789
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    @ paw88789: So it would look like this 26P6 * 10C6 * 10P4 because the first choice of characters has 10 slots – Liam Nov 25 '19 at 13:08