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Combinations (Make sets, combining only a few options)

Find the number of possible combinations, with the given conditions:

 

MeatsVegetablesCheese
PepperoniPeppersMozzarella
SausageMushroomsRicotta
MeatballsTomatoes 
 Onions 

 

  1. You are ordering a pizza off of the menu above. If you can choose up to 1 meat, up to 2 vegetables, and must have 1 cheese, how many pizzas can you make?
  2. If, given the same options, you can choose up to 2 meats, up to 3 vegetables, and must have 1 cheese, how many pizzas can you make?
  3. If, given the same options, you may choose up to just one meat OR vegetable, and must choose 1 cheese, how many pizzas can you make?

 

 

ShirtsPantsShorts
Green TCargo pantsKhaki shorts
Black TDress pantsSwim shorts
Button DownLeggings 
 Sweat pants 

 

  1. You are packing for a weekend trip and are choosing among the clothing listed above. How many sets of clothing can you back if you must bring 2 shirts, two pants, and two shorts?
  2. If, given the same options, you can choose up to 2 shirts, up to 3 pants, and up to 2 shorts, how many packing combinations do you have?
  3. If, given the same options, will choose up to 2 shirts and up to 2 pants OR shorts, how many packing combination will you have?