ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Statistics Videos 87 videos
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 6815 Views
Share It!
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.)
Related Videos
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...
Statistics, Data, and Probability II Drill 3 Problem 3. One hundred twenty of those who were asked preferred what sport?
If you're looking for tips on how to score more free samples at Yogurtland, you've got the wrong video.