Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?
|CAHSEE Math||Statistics, Data, and Probability I|
|Mathematics and Statistics Assessment||Interpreting Categorical and Quantitive Data|
|Statistics and Probability||Statistics|
|Statistics, Data Analysis, and Probability 6||Data sets|
Here are the potential answers:
So... this question is really testing whether we were awake in class the day
our teacher demonstrated the fundamental counting principle.
Basically it's saying that when we have choices, we just multiply them to get the
full suite of POSSIBLE choices in a set.
Consider a simple example: 3 geeks and 2 jocks.
They could pair in the following ways:
These are all 6 ways that could possibly be constructed from a set of 3 choices and a
set of 2 choices -- 3 times 2 is 6 and... well, you get it.
Now we just need to do the same with all the... colors of the human rainbow provided.
So we just... multiply 'em.
We get 2 times 5 times 4 times 5 times 8... which gives us 1600.
And voila...it's answer D.
And now you can make the avatar to end all avatars.