Question

Ben and Jerry's Ice Cream Shop offers 20 different flavors of ice cream and 8 different toppings. How many different triple cones can you create from the 20 flavors if the same flavor may be used more than once? Assume that you specify which flavor goes on the bottom, middle and top?

Answer 1

3 cones from 20 flavours and one flavour can be used more than once.

`\text{Total combinations are =}(20!)/(3!(20-3)!)=1140\text{ combinations}`