1.2-4. The \"eating club\" is hosting a make-your-own sun- dae at which the foll

Question

1.2-4. The "eating club" is hosting a make-your-own sun- dae at which the following are provided: Ice Cream Flavors Toppings Caramel Cookies 'n' cream Hot fudge Chocolate Strawberry Marshmallow M&M's Nuts Strawberries Vanilla (a) How many sundaes are possible using one flavor of (b) How many sundaes are possible using one flavor of (c) How many different combinations of flavors of three ice cream and three different toppings ice cream and from zero to six toppings? scoops of ice cream are possible if it is permissible to make all three scoops the same flavor?

Explanation / Answer

C) There are total 4 flavors out of which different flavors are to be made, it is allowed to usse all three scoops of same flavor.

So total possible flavors = 4C1 + 2* 4C2 + 4C3 = 4 +2*6 + 4 = 20 flavors

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