# math

teresa has to create a password that contains 1 digit and 2 letters. find the number of possible passwords?

how do you do this?

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1. i did 26 *26*9 because there are 26 letters in an alphabet, and just 1 letter can go into 26 (counting its self) and 9 because it has to be 1 number.

so 26*26*9=6084

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2. I will assume that zero can be used as a digit, and that letters can repeat.

There are 3 ways for the digit and letters to show up
DLL
LDL
LLD

let's find the number of ways DLL can be done
= 10x26x26

the same with the other two, so the number of ways is
3(10)(26)(26) = 20280

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