Can someone help me create a calculation that can count using three criteria?

I got help yesterday for counting using 2 criteria. Is there a way to count using 3 criteria. I'm not having much success on my own modifying the given formulae.

I am having difficulting in counting the occurrance in an excel spreadsheet using three criteria. In the attachment is a zip of a sample spreadsheet. I want to count the number of times a person who is an E-"6" that has less than 1 year in Security, additionally count only those in a particular Department such as "Admin" or what ever I type in cell H14. I need help thank you.