### Counting problems and combinations

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##### Reference no: EM13126233

A Pasta bar has a build your own pasta option. On this option, the menu lists 4 types of pasta noodles, 6 different vegetable choices, 4 meat choices, 3 cheeses and 3 sauces. Each customer who orders this option must choose 1 type of noodle and 1 type of sauce. The customer can choose as many of the vegetables as desired and up to to meats. If cheese is desired, the customer either specifies one of the cheeses or else opts fort the 3-cheese blend. How many different pasta dishes can be built?

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