A restaurant offers 5 choices of courses of appetizers, 10 main meals, and 4 desserts. A customer can eat 1,2 or 3 of the courses. How many different possible meals can be offered?

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The restaurant offers 5 choices of courses of appetizers, 10 main meals, and 4 desserts. A customer can eat a 1, 2 or 3 course meal.

If the customer eats a 1 course meal, the number of ways of doing this is 5 + 10 + 4 = 19

If the customer has a 2 course meal, the number of ways of doing this is: 5*10 + 5*4 + 10*4 = 50 + 20 + 40 = 110

If the customer has a 3 course meal, the number of combinations is 5*10*4 = 200

Adding the three, the number of ways in which a customer can have a meal is 19 + 110 + 200 = 329

The number of possible meals is 329

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