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Hi Rob. Finally, multiply the number of choices for rice/noodles (7) by the number of choices for sauces (6) by the number of choices for mains (2^12  1) and you have the total number of combinations. Cheers,
Yes, definitely too small. First, how many choices for main dishes are there? Try a simpler version with only 2 main dishes and try to list all possibilities. See a pattern? Now try the pattern with 3 to see if it works and if so, apply it to 12. [The answer to this should be roughly 800 larger than the answer you got.] Now, you have seven choices for rice/noodles with each of these collections of mains. And with each of those meals, six choices for sauce. Good Hunting!  


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