How many possible combinations can be made from 6 codons using base pairs?

[Arctangent]

This is a math question. really.

So I have 6 codons.
Leu-Asp-Phe-Ile-Pro-Cys.
Now as we've all learned from high school biology, codons are made up of 3 base pairs each.
We've also learned that the genetic code is degenerative, that is, more than one combination of base pairs can mean one single codon.

Leu has 4 different posisble combinations
Asp has 2
Phe has 2
Ile has 3
Pro has 4
and Cys has 2

The question is now, as you've probably guessed, to determine the number of possible ways to get Leu-Asp-Phe-Ile-Pro-Cys.

I'd rather not draw it out. Is there a good equation I could use/way to go about this?

 

[kishtik]

If there are 4 ways to get to City Leu from where you are, and 2 ways from Leu to Asp City, how many ways are there to get to Asp? Think about multiplying the combinations.

 

[Arctangent]

Thanks, that helped me visualize the problem!