A fast-food restaurant offers 7 different burgers, 5 different side orders, 8 different flavor drinks, and 8 different flavors of ice cream. in how many ways can a combo containing 3 burgers, 2 different sides, 3 different flavor drinks, and 2 ice cream flavors be made?
Question
Answer:
548800.Use the fundamental counting principle and combinations formula to find the total possibilities. use combinations to find the combos then multiply each set of possibilities together.
7 nCr 3 = 35 hamburgers combo possibilities.
5 nCr 2 = 10 sides combo possibilities
8 nCr 3 = 56 drinks combo possibilities
8 nCr 2 = 28 ice cream combo possibilities
Multiply each possibility together to get total possibilities.
35*10*56*28 = 548800
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10 months ago
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