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SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
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?
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?
Full Transcript
- 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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