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Mathematics 14 Online
OpenStudy (anonymous):

in state x, all vehicle license plastes have 2 letters from the 26 letters of the alphabet followed by 3 one-digit numbers. how many different license plates can state x have if repetitions of letters and numbers is allowed?

OpenStudy (amistre64):

26*26*10*10*10 looks to be right

OpenStudy (anonymous):

can you explain to me how to breakdown and solve..

OpenStudy (amistre64):

the breakdown is a little hard to explain; but ill try

OpenStudy (amistre64):

we want all the available options from: AA001 to ZZ999 right?

OpenStudy (amistre64):

well, from AA000 that is :)

OpenStudy (anonymous):

i understand

OpenStudy (amistre64):

we have 26 options, which each branch out to 26 more options (26*26) each of those options have 10 options each: with 10 more and 10 options more .... 26*26*10*10*10 include all the branches of a "tree"

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