Ice Cream Shop. Josh and John’s Ice Cream Shop offers 20 different flavors of ice cream and 8 different toppings. Answer the following questions by using the appropriate counting technique (multiplication principle, arrangements with repetitions, permutations, or combinations). Explain why you chose the particular counting technique.

a)How many different sundaes can you create using one of the ice creams flavors and one of the toppings.

b). 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.

c)Using the 20 flavors, how many different triple cones can you create with 3 different flavors if you specify which flavor goes on the bottom, middle, and top?

d) Using the 20 flavors, how many different triple cones can you create with 3 different flavors if you don’t care about the order of the flavors on the cone?

d)Using the 20 flavors, how many different triple cones can you create with 3 different flavors if you don’t care about the order of the flavors on the cone?

Note: Final answers are highlighted in a) Here we can use multiplication principle. There are 20 option for a flavour and 8 options for topping. Therefore, the number of sundaes that ca…