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?

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