A smoothie comes in three sizes - small, medium, and large, with five flavors - strawberry, banana,
orange, blueberry, and watermelon. Use the counting principle to determine the total number of
outcomes possible.
a. 15 b.Sc. 5 d. 3

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ChopinTheChicken ChopinTheChicken · Answer 1 · 2020-09-05T04:58:50+02:00

Hey there! I'm happy to help!

We have three choices for sizes...

And five choices for flavors.

If you choose small, there are 5 smoothies you can make.

With medium, there are also five.

Same with large!

This gives us 15 possible smoothies.

Have a wonderful day! :D

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Sarah06109 Sarah06109 · Answer 2 · 2020-09-05T05:04:55+02:00

Answer:

A. 15

Step-by-step explanation:

The fundamental counting principle states if there is a outcomes/options and b outcomes/options, the total number of outcomes is a*b.

a * b

There are 3 sizes: small, medium and large

There are 5 flavors: strawberry, banana, orange, blueberry, and watermelon.

Therefore, we can say that a is 3 (sizes) and b is 5 (flavors).

3 * 5

15

Here is another way to think about it.

You can order a small smoothie five different ways, a medium five different ways, and a large five different ways.

5+5+5=15

Therefore, there are 15 total outcomes and A is correct.