Home | Community | Message Board
You are not signed in.
Sign In New Account
Forum Index Search Posts Trusted Vendors Highlights Galleries FAQ User List Chat Store Random Growery

PlanetSpores.ca
This site includes paid links. Please support our sponsors.

General Interest > Science and Technology
Threaded Mode Threaded  Previous topic Previous  View all topics Index  Next topic Next 

Welcome to the Shroomery Message Board! You are experiencing a small sample of what the site has to offer. Please login or register to post messages and view our exclusive members-only content. You'll gain access to additional forums, file attachments, board customizations, encrypted private messages, and much more!

Jump to first unread post Pages: 1 | 2 |  [ show all ]
So you think you know your math huh...
    #1455338 -

I'm out with some friends over the weekend and we get into a discussion about numbers. One of my friends brings up a class she had in high school, trig 101.

Anywho, she's trying to tell me that there are only so many combinations of putting 4 digits. In other words, she tried telling me that if you were to use the numbers 0 thru 9 in a four digit sequence, and the numbers can come up as many times as possbile, you'd only have a few (under 10,000 combinations)???

How wrong is that !!!

I tried telling her that if you have 0 - 9 and they can come up over and over again, you'd have millions of combinations. For example, 1234 or 2255 or 9999

My point is, I want to prove this girl wrong! If I can she's owes me dinner.

Isn't there a formula that can tell you how many combinations there are in a sequence of numbers based on the number of digits there are? If so let me know cause my mouth is watering for a good steak dinner!

Thanks,
Lana

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Lana]
    #1455572 -

Yes the formula is:

b^n

where b is the base system you are using (decimal is 10, binary 2, octal 8, ect) and n is the number of places you have.

So for a four digit number in decimal, you have:

10^4 = 10000


--------------------
Once, men turned their thinking over to machines in the hope that this would set them free.
But that only permitted other men with machines to enslave them.

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Lana]
    #1455584 -

Shouldn't the number of combinations be equal to the number of combinations for the first digit times the number for the second times the third times the fourth? Since there are 10 possible values for each digit, the total number of combinations should be 10x10x10x10 = 10,000. It's equivalent in this case to asking how many numbers there are from 0000 to 9999, which is exactly 10,000.

If you're not allowed to have a duplicate digit in the number, then the total is 10x9x8x7 = 5040 possible combinations.

Or the question is something else from either of those.


--------------------
Happy mushrooming!

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: ToxicMan]
    #1455708 -

Shouldn't the number of combinations be equal to the number of combinations for the first digit times the number for the second times the third times the fourth?

That's the same thing as the formula i posted  :smirk:

10x10x10x10 = 10^4


--------------------
Once, men turned their thinking over to machines in the hope that this would set them free.
But that only permitted other men with machines to enslave them.

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Lana]
    #1456112 -

You gave yourself the answer already in your question, the highest combination is 9999 and the lowest 0000 and all the combinations inbetween, so all in all 10,000 combinations


--------------------
Grow Mushrooms from Spores - PF-Tek for Simple Minds

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Lana]
    #1456171 -

I think you're thinking of the number of sequences of 4 numbers between 1 and 1000.

e.g.

1 - 65 - 743 - 998

or

321 - 555 - 601 - 677

In this case the number of possible combinations =
(1000*999*998*997)/(1*2*3*4) =
(994010994000)/(24) =
41,417,124,750


--------------------

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Jackal]
    #1456272 -

the number of sequences of 4 numbers between 1 and 1000 would be just 24. The numbers 998 or 65 is the whole number and cannont be split. So they would have to stay as (998)(65). They cannon be thrown together such as 96958.

It would be the number of 4 digit sequences.. or something like that. I know what you ment to say, but it can be interpreted differently.

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: ExtravagantDream]
    #1456555 -

AH CRAP!!! Its 10,000!

Now I owe my friend dinner! Thats the last time I get into a conversaton at 1:00 a.m. after drinking greyhounds all night!

Thanks guys... I appreciate your help.

Lana

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Lana]
    #1456723 -

lol  :smirk:


--------------------
Once, men turned their thinking over to machines in the hope that this would set them free.
But that only permitted other men with machines to enslave them.

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Lana]
    #1460286 -

You either want to do a nCr or an nPr equation.

nPr =
n!/([n-r]!)

where n is the total number of items (in your case 10) and r is how many you're taking at a time but nothing can be repeated

and nCr =
n!/[r!*(n-r)!]

where n = 10 and r = 4



--------------------
Garden FAQ
Free Ethno-Seed Thread
Tripper's Wiki

Edited by neuro (04/15/03 12:46 PM)

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: neuro]
    #1462812 -

23.40?

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: neuro]
    #1463132 -

nPr = n!/([n-r]!) ) = 10! / (10-4)! = 5040

nCr = n!/[r!*(n-r)!] = 10! / [4! (10-4)!] = 210

So these are your solutions ??!
Hmmmmm nope, won?t be right....


--------------------
Grow Mushrooms from Spores - PF-Tek for Simple Minds

Extras: Filter Print Post Top
[Re: Anno]
    #1463203 -


Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: matts]
    #1463219 -

>because nothing can be repeated:

Says who?


--------------------
Grow Mushrooms from Spores - PF-Tek for Simple Minds

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: Anno]
    #1463234 -

those are the solutions if nothing can be repeated...

the easier way to figure it out, allow for numbers to be repeated, in the case 0001 three 0's would to assign 1 - 1 relationships to the combinations
1) 0000
2) 0001
3) 0002
4) 0003
and so on...
so whatever the last 4 digit number is the counting number assigned to it will the 4 digit number + 1


--------------------
Garden FAQ
Free Ethno-Seed Thread
Tripper's Wiki

Extras: Filter Print Post Top
[Re: neuro]
    #1463382 -


Edited by matts (04/16/03 10:21 AM)

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: matts]
    #1464167 -

Absolutely correct.. and dont make me write them out to show it.

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: neuro]
    #1464802 -

Hah, well, if it were a nail, my hammer would've worked. And I suppose if she were asking for permutations, some fancy factorial moves would have worked.

I still don't think anyone's solution has accounted for 34.68 though. So, still, no ones been right yet.

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: djfrog]
    #1466090 -

34.68 is the same as 3468 in this case  :smirk:


--------------------
Once, men turned their thinking over to machines in the hope that this would set them free.
But that only permitted other men with machines to enslave them.

Extras: Filter Print Post Top
Re: So you think you know your math huh... [Re: trendal]
    #1466109 -

Quote:
and dont make me write them out to show it



You shouldn't have said anything.

Count em yourself... :smile:

EDIT: Insert 0000 - 9999 here  :smile:


--------------------


Edited by JssMthrFcknChrst (04/24/03 03:43 AM)

Extras: Filter Print Post Top
Jump to top Pages: 1 | 2 |  [ show all ]

General Interest > Science and Technology
Threaded Mode Threaded  Previous topic Previous  View all topics Index  Next topic Next 

Similar ThreadsPosterViewsRepliesLast post
* To anyone who is decent with math RedNucleus 1,538 17 07/05/05 12:48 PM
by TheCow
* digital SLR cameras?? BrAiN 1,119 5 04/07/05 06:59 AM
by newuser1492
* I broke my digital camera... Das Meow 725 4 04/28/05 08:35 PM
by BigGameHunter
* The digital creation of TREG parallel dimensions Tag_Number 994 14 11/30/04 06:44 PM
by Catalysis
* Math Question TheCow 759 2 06/06/04 12:21 PM
by TheCow
* Mini DV or Digital 8? Cubieman420 1,291 7 06/01/03 08:32 PM
by BlueLegs
* on the subject of digital cameras YidakiMan 1,119 6 10/04/03 06:54 PM
by windex
* old digital scale TomSawyer 782 4 09/08/05 01:27 PM
by THE KRAT BARON

Extra information
You cannot start new topics / You cannot reply to topics
HTML is disabled / BBCode is enabled
Moderator: trendal, automan, Northerner
5,417 topic views. 0 members, 16 guests and 5 web crawlers are browsing this forum.
[ Show Images Only | Sort by Score | Print Topic ]
Search this thread:

Copyright 1997-2026 Mind Media. Some rights reserved.

Generated in 0.027 seconds spending 0.003 seconds on 16 queries.