1. There are ten toppings available for your ice cream and you are allowed to ch

Question

1. There are ten toppings available for your ice cream and you are allowed to choose only three. How many possible 3-topping combinations can you have?

2. An ice cream shop has 31 flavors available. They also have mixins, stirred into the ice cream in the bowl. Available mixins are chocoloate chips, mini marshmallows, cookie crumbs, peanut pieces, and coconut crunchies. The Saturday Night Special consists of an extra-large scoop of ice cream in a styrofoam bowl, with two mixins. How many different Saturday Night Specials are possible.

3. The Tuesday Triple is a three-scoop cone. How many different Tuesday Triples are possible if there are 31 flavors and you can choose from a wafflee cone, cake cone, or a

dipped cone?

Explanation / Answer

(1): The required combinations=(3C1*3C1*3C1)/10C3=27/120=0.225.

(2): The required combinations=(5C2*5C2)/31C5=0.000588.

(3): The required combinations=(3C1*3C1*3C1)/31C3=27/4495=0.0060066.

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