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Another Stupid Question

aplefka

Lifer
So I missed 2 weeks of school and I'm trying to catch up, but I got caught with a question that I don't know the answer to or how to figure it out. I asked a friend and he wasn't sure.

It's a section on permutations, which are just dependent occurences if I've figured it out correctly.

The question is just how many different ways can these letters be formed, and it gives me several different words. It was all fine and dandy until the third one, which was 'Alaska.' Now, would it be 6! or 4!? I say 4! because how can you tell the difference between aaalks and aaalks? My friend said it would be 6! he thinks, but he's not sure.

Please help me ATOT, I gotta learn this stuff quick.
 
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.
 
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)
 
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

It is 6! over three because there are six letters (6!) and three of them are repeated. These three letters have the potential to create duplicate words, so they're divided out and removed.


Hence, 6!/3!

🙂
 
Originally posted by: Amol
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)

Hahahahahaha that's one of them! You just saved me a lot of work.
 
Okay, so then here's my next stupid question... when you have a series of factorials in a row, what do you do to get the numerical value?

One of the questions early on was does 1!2!3!4!=1! and I had no clue. I just assumed it was no, but I didn't know what to do mathematically to come to that conclusion.
 
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)

Hahahahahaha that's one of them! You just saved me a lot of work.

hmmmm, maybe you have the same book as me?? is it section 15-6? 😛
 
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)

Hahahahahaha that's one of them! You just saved me a lot of work.

hmmmm, maybe you have the same book as me?? is it section 15-6? 😛

I dunno, it's on a worksheet she copied out of a book. Well, not a worksheet, but it's a page from a different mathbook she copied. I think it's page 692, if that's what page 15-6 is in your book, but since we don't use it that doesn't help much.
 
Originally posted by: aplefka
Okay, so then here's my next stupid question... when you have a series of factorials in a row, what do you do to get the numerical value?

One of the questions early on was does 1!2!3!4!=1! and I had no clue. I just assumed it was no, but I didn't know what to do mathematically to come to that conclusion.

Abuh? 1!2!3!4!=1! ?

I don't see how that works, either. 1 x 2 x 6 x 24 = 1?
 
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)

Hahahahahaha that's one of them! You just saved me a lot of work.

hmmmm, maybe you have the same book as me?? is it section 15-6? 😛

I dunno, it's on a worksheet she copied out of a book. Well, not a worksheet, but it's a page from a different mathbook she copied. I think it's page 692, if that's what page 15-6 is in your book, but since we don't use it that doesn't help much.

ahhh, so your school is too cheap to buy books?? 😛

nah, its a different book, ours shows inverse sine and cosine and inverse functions on that page

piece o' cake
 
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)

Hahahahahaha that's one of them! You just saved me a lot of work.

hmmmm, maybe you have the same book as me?? is it section 15-6? 😛

I dunno, it's on a worksheet she copied out of a book. Well, not a worksheet, but it's a page from a different mathbook she copied. I think it's page 692, if that's what page 15-6 is in your book, but since we don't use it that doesn't help much.

ahhh, so your school is too cheap to buy books?? 😛

nah, its a different book, ours shows inverse sine and cosine and inverse functions on that page

piece o' cake

Nah, we have a book, but you don't understand. I have the satan of homework when it comes to teachers. Our book didn't have enough problems for her liking.
 
Originally posted by: Chraticn
Originally posted by: aplefka
Okay, so then here's my next stupid question... when you have a series of factorials in a row, what do you do to get the numerical value?

One of the questions early on was does 1!2!3!4!=1! and I had no clue. I just assumed it was no, but I didn't know what to do mathematically to come to that conclusion.

Abuh? 1!2!3!4!=1! ?

I don't see how that works, either. 1 x 2 x 6 x 24 = 1?

It was asking if it was true or false. You're making too much work out of it 🙂

so basically then you just do a x b x c x d if it's written a!b!c!d!, you just answered my question without realizing it, thanks.
 
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)

Hahahahahaha that's one of them! You just saved me a lot of work.

hmmmm, maybe you have the same book as me?? is it section 15-6? 😛

I dunno, it's on a worksheet she copied out of a book. Well, not a worksheet, but it's a page from a different mathbook she copied. I think it's page 692, if that's what page 15-6 is in your book, but since we don't use it that doesn't help much.

ahhh, so your school is too cheap to buy books?? 😛

nah, its a different book, ours shows inverse sine and cosine and inverse functions on that page

piece o' cake

Nah, we have a book, but you don't understand. I have the satan of homework when it comes to teachers. Our book didn't have enough problems for her liking.

OMG, is your teacher irish?!?! cause mine does the exact same thing! 😛

he gives us 2 day tests, an hour test isn't long enough 😛
 
Originally posted by: GML3G0
ahhh, the good ol' days.... easy math.... you're lucky man, wait a year or two.....or three.....

don't remind us! 😛

got Honors Pre-Calc and AP Statistics next year

Then Calculus BC the year after

AND THAT'S THE EASY STUFF!!
 
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Originally posted by: Amol
Originally posted by: aplefka
Why is it 6!/3!?

Sorry if this seems like a dumb question, but it's really hard to teach yourself this stuff when you don't have examples.

there are 3 A's

If it was "MISSISSIPPI"

it would be 11! (11 letters) divded by 4!4!2! (4 Is, 4Ss, 2Ps)

Hahahahahaha that's one of them! You just saved me a lot of work.

hmmmm, maybe you have the same book as me?? is it section 15-6? 😛

I dunno, it's on a worksheet she copied out of a book. Well, not a worksheet, but it's a page from a different mathbook she copied. I think it's page 692, if that's what page 15-6 is in your book, but since we don't use it that doesn't help much.

ahhh, so your school is too cheap to buy books?? 😛

nah, its a different book, ours shows inverse sine and cosine and inverse functions on that page

piece o' cake

Nah, we have a book, but you don't understand. I have the satan of homework when it comes to teachers. Our book didn't have enough problems for her liking.

OMG, is your teacher irish?!?! cause mine does the exact same thing! 😛

he gives us 2 day tests, an hour test isn't long enough 😛

I dunno what she is, but her last name is Stoneking. I always wanna call her Stoneheart. She isn't a good teacher and can't explain stuff that well. And like I said, there's never enough homework.
 
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