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An ice cream shop provides the following types of add-ons:hot fudge, caramel, cherry, Reddi-whip, chopped walnuts, rainbow sprinklesSuppose each customer can choose as many (and as few) types of add-ons when ordering an ice cream. Let A be the set of the above 6 add-ons. How can you represent the set of all possible ice cream orders? How many possible ice cream orders are there?(Note: You do not need to list all the possible orders. All you need to do is find out how many there are.)

Question
  1. An ice cream shop provides the following types of add-ons:

    hot fudge, caramel, cherry, Reddi-whip, chopped walnuts, rainbow sprinkles

    Suppose each customer can choose as many (and as few) types of add-ons when ordering an ice cream. Let A be the set of the above 6 add-ons. How can you represent the set of all possible ice cream orders? How many possible ice cream orders are there?
    (Note: You do not need to list all the possible orders. All you need to do is find out how many there are.)

check_circleAnswer
Step 1

Consider the  add-ons ice-cream shop provides:

 

Hot fudge,caramel,cherry,redid-whip,chopped walnuts,rainbow sprinkles.

 

Step 2

Total number of add-ons are six.

Step 3

Calculate total number of orders if only one add-on is chosen among provided:

Calcu...

6!
n1(6-1)
- 6
6!
п,
2(6-2)!
=15
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6! n1(6-1) - 6 6! п, 2(6-2)! =15

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Math

Algebra

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