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How many different dinner meals of 5 dishes

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A Thai restaurant offers 5 fish dishes, 3 meat dishes, 3 vegetables dishes and 2 rice dishes for dinner service.

a. How many different dinner meals of 5 dishes are possible if any dish can be chosen only once?

b. How many different dinner meals are possible if each meal can consists of 1 fish dish, 1 meat dish, 1 vegetable dish and 1 rice dish?

c. How many different dinner meals are possible if each meal can consists of 2 fish dishes, 2 meat dishes and 1 vegetable dish but each dish can be chosen only once?

d. How many different dinner meals of four dishes are possible if the meal must consists only 1 fish dish, 1 meat dish, 1 vegetable dish and 1 rice dish or the meals can consists only 1 fish dish, 1 meat dish, and 2 different vegetable dishes?

Reference no: EM132515255

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