What are the possible ways the student can create a password?

Question

A student is to create a password for her MyMathLab homework account. She is informed that the password must consist of six characters. How many possible ways can she create the password if the first two characters are digits followed by two letters and two digits​?

​(Repeated letters are allowed and case does not matter. Also, repeated digits are not​ allowed.)

There are ____ possible ways the student can create a password.

Answer 1

10*9*26*26*8*7 = the answer.

10 ways to fill the first digit and 9 the second.

Then 26*26 ways to fill the letter.

And finally 8*7 ways to fill the last 2 digits.