How many wise men were there?

How many wise men were there?

Tradition has held that there were three wise men. However, it must be noted that this is solely a tradition, possibly due to the different types of gifts that they presented to Christ. The Bible itself, does not say how many there were. In addition, it doesn't say that one wise man brought frankincense, and another brought myrrh, and that another brought gold. Each wise man could have brought some of each.

For reference, read Matthew 2:1-12.