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CAHSEE Math 3.4 Statistics, Data, and Probability I
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Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?

CAHSEE Math 3.2 Statistics, Data, and Probability II
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CAHSEE Math 5.3 Algebra and Functions
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CAHSEE Math 3.4 Statistics, Data, and Probability I 363 Views


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Description:

Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?

Language:
English Language

Transcript

00:04

Here's a shmoopy question for ya...

00:07

To complete their profiles, users of a website are encouraged to

00:10

create a representation of themselves, or an avatar.

00:15

The following choices are given to each user:

00:19

How many different avatars can be created based on these options?

00:23

Here are the potential answers:

00:30

So... this question is really testing whether we were awake in class the day

00:34

our teacher demonstrated the fundamental counting principle.

00:37

Basically it's saying that when we have choices, we just multiply them to get the

00:42

full suite of POSSIBLE choices in a set.

00:45

Consider a simple example: 3 geeks and 2 jocks.

00:49

They could pair in the following ways:

00:52

These are all 6 ways that could possibly be constructed from a set of 3 choices and a

00:58

set of 2 choices -- 3 times 2 is 6 and... well, you get it.

01:02

Now we just need to do the same with all the... colors of the human rainbow provided.

01:07

So we just... multiply 'em.

01:10

We get 2 times 5 times 4 times 5 times 8... which gives us 1600.

01:15

And voila...it's answer D.

01:18

And now you can make the avatar to end all avatars.

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