Question

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?

Answer 1

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