Number Of Ways to generate Codes

Question

Using the English only A-Z alphabet and numeric 0−9, I need to calculate how many combinations will be possible to get when we take a test for 5 digits code.

Code Has 3 Alphabet and 2 Numeric Digits.

Answer 1

There are $\frac{5!}{2!*3!}$ ways of arranging the numbers and letters, there are $26^3$ ways to pick the three letters, and there are $10^2$ ways to pick the numbers. Multiply all those results to get an answer.