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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?
Statistics, Data, and Probability II Drill 3 Problem 2. Which two sports together make up for the preferences of more than half of all those w...
Introduction to Factorials 6816 Views
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Description:
Do you have trouble organizing your desk? Are your bookshelves a disaster area? Well, you’re in luck! Act now, and get yourself a pack of factorials, designed to help you get your life in order! (Limit 2 per customer.)
Transcript
- 00:00
Factorials, a la Shmoop. Hi – I’m five. Meet my friend, five factorial.
- 00:11
We’re going to tell you all about factorials. WE’RE GOING TO TELL YOU ALL ABOUT FACTORIALS!
- 00:17
Right. So, uh… a factorial helps you determine how to organize or arrange a large number
- 00:23
of items. A FACTORIAL HELPS YOU DETERMINE HOW TO ORGANIZE
- 00:27
OR ARRANGE – Whoa – why are you yelling?
Full Transcript
- 00:31
BECAUSE… THERE’S AN EXCLAMATION POINT AFTER MY NAME. IT’S KINDA MY THING.
- 00:35
Ah. Of course.
- 00:37
Tell you what – I’ll take it from here. SUIT YOURSELF.
- 00:40
A factorial, as my friend here mentioned, ends in an exclamation point.
- 00:44
However, the exclamation point – for once - is not being added for emphasis, or because
- 00:48
factorials are particularly exciting. HEY!
- 00:52
It is just a symbol which indicates that the number you are dealing with is, in fact, a
- 00:58
factorial.
- 00:58
For example, the number 4 factorial…
- 01:00
…really represents: “4 times 3 times 2 times 1.”
- 01:04
HOW IS THAT HELPFUL? Glad you asked.
- 01:07
Say you’re going to see your favorite band Troll Slayer in concert.
- 01:10
The band is great… but they’ve only written four songs:
- 01:13
Deathtongue, Anvil of Evil, Scorpion Love, and Hate Shroud.
- 01:17
It isn’t tough to figure out what kind of music they’re going to play…
- 01:22
…but try figuring out in what order they will play their four songs.
- 01:27
We know you’ve got your fingers crossed that they open with Scorpion Love.
- 01:30
Then segue into Anvil of Evil, follow that puppy up with Hate Shroud, and finally bring
- 01:36
the house down with Deathtongue. But that’s only one possible set list. How
- 01:40
many possibilities are there?
- 01:41
Well, there are 4 options for their opener.
- 01:44
Once their first song has been determined, there are only 3 options for their second
- 01:48
song.
- 01:48
Then, only 2 options for their third…
- 01:50
…and lastly, a single option left for the big finale.
- 01:54
There are 4 times 3 times 2 times 1 – or 24 – possible orders for the band’s set
- 02:00
list.
- 02:03
Make sense? SURE! BUT WHAT IF THE AUDIENCE WANTS AN ENCORE?
- 02:06
I don’t think they’re ready for that kind of math.
- 02:09
GOOD CALL.
- 02:09
Blurb: Do you have trouble organizing your desk?
- 02:10
Are your bookshelves a disaster area? Well, you’re in luck! Act now, and get yourself
- 02:11
a pack of factorials, designed to help you get your life in order! (Limit 2 per customer.)
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