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Mathematics 24 Online
OpenStudy (anonymous):

If passwords may contain lower case letters and digits, how many 6-character passwords start with a lower case letter a or ends with a lower case letter z. Is the answer the following? (36^5 + 36^5) - (36^4) = 119252736

OpenStudy (anonymous):

why did you subtract 36^4?

OpenStudy (anonymous):

the answer is right, but many people did it wrong by adding 36^4 instead

OpenStudy (anonymous):

hmm 36^5 is for start with a or end with z, but there is a 3rd condition which is aXXXXz so i minus 36^4

OpenStudy (anonymous):

that's correct. There is a theorem for that. |A or B| = |A| + |B| - |A and B|

OpenStudy (anonymous):

I see.

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