Question Video: Application of the Counting Principle (Product Rule) | Nagwa Question Video: Application of the Counting Principle (Product Rule) | Nagwa

Question Video: Application of the Counting Principle (Product Rule) Mathematics • Second Year of Secondary School

An ice cream store offers 3 different cup sizes and 14 flavors. How many ways are there to buy a single flavor of ice cream?

01:14

Video Transcript

An ice cream store offers three different cup sizes and 14 flavors. How many ways are there to buy a single flavor of ice cream?

Let’s say, for example, you could buy a small cup, a medium cup, or a large cup. Your first decision or your first choice is what size cup you would like. If you choose a small cup, there are 14 different flavors. Remember, we’re wondering how many ways we can buy a single flavor. And that means our choices for the small cup are 14 different choices. We’ll have the same choice for the medium cup and the large cup, 14 flavors in any of the three cups. Another way to say this is that for each flavor, there are three different ways to buy it: small chocolate, medium chocolate, large chocolate, small vanilla, medium vanilla, large vanilla.

To find out the number of ways to buy a single flavor, we multiply our choices. Three sizes by 14 flavors equals 42 total choices.

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