key signature is the set of sharps (#) or flats (b) that is written at the beginning of a piece of music to indicate the key of the piece. These sharps or flats are located in front of a clef, either a bass or a treble clef.

The Order of Flats:
BEADGCF

The Order of Sharps:
FCGDAEB

As you can see, it's just reversed for each. A good way to remember which way is which is that the symbol for a flat (b) looks like a B, and the order begins with a B.

Keys:
To name a flat key, you count the number of flats, and the next to the last flat names the key. For example, if there are 3 flats on the staff, they are B, E, and A. So it's an E flat.

To name a sharp key, you count the number of sharps, and then take the next alphabetical letter up. For example, if you have 4 sharps, they'd be F, C, G, D. So it would be E.