to create an entry code, you must first choose 2 letters and then, 5 single-digit numbers. how many different entry codes can you create?

Question

algebra 2 question. find how many possible entry codes there can be. 

Answer 1

Assuming that you are using:

 

1) the 26 letter alphabet used in the English language (a-z) and there is no distinction between upper (A) and lower case letters (a),

 

2) digits between 0 and 9, and 

 

3) that you can repeat letters and numbers, then

 

you can have the following possibilities

 

26 x 26 x 10 x 10 x 10 x 10 x 10 --> ?

Answer 2

26•26•10•10•10•10•10 because for the first part (2 letters) you have 26 choices for the first letter, and also 26 choices for the second letter; thereafter you have five times where you must choose any of the ten digits 0 through 9, so since each of these is an independent choice (repetition being allowed), all you have to do is multiply these seven numbers.