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An anthropologist discovers an isolated tribe whose written alphabet
contains only six letters (call the letters A, B, C, D, E, and F). The tribe
has a taboo against using the same letter twice in the same word. It's never
done. If each different sequence of letters constitutes a different word in
the language, what is the maximum number of six-letter words that the
language can employ?

Yes this is homework.
--


The best live web video on the internet http://www.seedsv.com/webdemo.htm
Sharpvision simply the best http://www.seedsv.com

46656 possible six letter words.
http://mathcentral.uregina.ca/QQ/dat.../freitag1.html


"pcbutts1" wrote
> An anthropologist discovers an isolated tribe whose written alphabet
> contains only six letters (call the letters A, B, C, D, E, and F). The tribe
> has a taboo against using the same letter twice in the same word. It's never
> done. If each different sequence of letters constitutes a different word in
> the language, what is the maximum number of six-letter words that the
> language can employ?
>
> Yes this is homework.
> --
>
>
> The best live web video on the internet http://www.seedsv.com/webdemo.htm
> Sharpvision simply the best http://www.seedsv.com
>
>
>
>
>

Thank you Liz I was right but did not know how I was right, now I do.

Thanks again

--


The best live web video on the internet http://www.seedsv.com/webdemo.htm
Sharpvision simply the best http://www.seedsv.com



"Liz" <> wrote in message
news:LR2lb.9792$%...
> 46656 possible six letter words.
> http://mathcentral.uregina.ca/QQ/dat.../freitag1.html
>
>
> "pcbutts1" wrote
> > An anthropologist discovers an isolated tribe whose written alphabet
> > contains only six letters (call the letters A, B, C, D, E, and F). The
tribe
> > has a taboo against using the same letter twice in the same word. It's
never
> > done. If each different sequence of letters constitutes a different word
in
> > the language, what is the maximum number of six-letter words that the
> > language can employ?
> >
> > Yes this is homework.
> > --
> >
> >
> > The best live web video on the internet
http://www.seedsv.com/webdemo.htm
> > Sharpvision simply the best http://www.seedsv.com
> >
> >
> >
> >
> >

"Liz" <> wrote in message
news:LR2lb.9792$%...
> 46656 possible six letter words.
> http://mathcentral.uregina.ca/QQ/dat.../freitag1.html

But isn't this only if the same letter can be used twice? The scenario
states "The tribe
has a taboo against using the same letter twice in the same word. It's
never done." If the same letter can't be used twice, then isn't the
answer 6x5x4x3x2x1=720?

From your link..."If there were no taboo then there would still be 6
possible one letter words. Each you could extend to a two letter word by
adding any one of the 6 letters. Thus there would be 6x6 = 36 possible
two letter words. Similarly each of these two letter words can be
extended to a three letter word by addind any of the six letters. Thus
there are 6x6x6 = 216 possible three letter words. Continuing in this
fashion, with no taboo there are 6x6x6x6x6x6 = 66 = 46656 possible six
letter words."

>
>
> "pcbutts1" wrote
> > An anthropologist discovers an isolated tribe whose written alphabet
> > contains only six letters (call the letters A, B, C, D, E, and F).
The tribe
> > has a taboo against using the same letter twice in the same word.
It's never
> > done. If each different sequence of letters constitutes a different
word in
> > the language, what is the maximum number of six-letter words that
the
> > language can employ?
> >
> > Yes this is homework.
> > --
> >
> >
> > The best live web video on the internet
http://www.seedsv.com/webdemo.htm
> > Sharpvision simply the best http://www.seedsv.com
> >
> >
> >
> >
> >

Ok now I am really confused. My math wiz brother just told me that it is 720
also. So with the taboo it is only 720, without it is 46656.

--


The best live web video on the internet http://www.seedsv.com/webdemo.htm
Sharpvision simply the best http://www.seedsv.com



"bb3" <> wrote in message
news:1F9lb.187858$...
>
> "Liz" <> wrote in message
> news:LR2lb.9792$%...
> > 46656 possible six letter words.
> > http://mathcentral.uregina.ca/QQ/dat.../freitag1.html
>
> But isn't this only if the same letter can be used twice? The scenario
> states "The tribe
> has a taboo against using the same letter twice in the same word. It's
> never done." If the same letter can't be used twice, then isn't the
> answer 6x5x4x3x2x1=720?
>
> From your link..."If there were no taboo then there would still be 6
> possible one letter words. Each you could extend to a two letter word by
> adding any one of the 6 letters. Thus there would be 6x6 = 36 possible
> two letter words. Similarly each of these two letter words can be
> extended to a three letter word by addind any of the six letters. Thus
> there are 6x6x6 = 216 possible three letter words. Continuing in this
> fashion, with no taboo there are 6x6x6x6x6x6 = 66 = 46656 possible six
> letter words."
>
> >
> >
> > "pcbutts1" wrote
> > > An anthropologist discovers an isolated tribe whose written alphabet
> > > contains only six letters (call the letters A, B, C, D, E, and F).
> The tribe
> > > has a taboo against using the same letter twice in the same word.
> It's never
> > > done. If each different sequence of letters constitutes a different
> word in
> > > the language, what is the maximum number of six-letter words that
> the
> > > language can employ?
> > >
> > > Yes this is homework.
> > > --
> > >
> > >
> > > The best live web video on the internet
> http://www.seedsv.com/webdemo.htm
> > > Sharpvision simply the best http://www.seedsv.com
> > >
> > >
> > >
> > >
> > >
>
>

"pcbutts1" <> wrote in message
news:Oralb.5878$ ink.net...
> Ok now I am really confused. My math wiz brother just told me that it
is 720
> also. So with the taboo it is only 720, without it is 46656.
>

That's the way I figured before I looked at Liz's link it, and it seems
to confirm the 720.

> --
>
>
> The best live web video on the internet
http://www.seedsv.com/webdemo.htm
> Sharpvision simply the best http://www.seedsv.com
>
>
>
> "bb3" <> wrote in message
> news:1F9lb.187858$...
> >
> > "Liz" <> wrote in message
> > news:LR2lb.9792$%...
> > > 46656 possible six letter words.
> > > http://mathcentral.uregina.ca/QQ/dat.../freitag1.html
> >
> > But isn't this only if the same letter can be used twice? The
scenario
> > states "The tribe
> > has a taboo against using the same letter twice in the same word.
It's
> > never done." If the same letter can't be used twice, then isn't the
> > answer 6x5x4x3x2x1=720?
> >
> > From your link..."If there were no taboo then there would still be 6
> > possible one letter words. Each you could extend to a two letter
word by
> > adding any one of the 6 letters. Thus there would be 6x6 = 36
possible
> > two letter words. Similarly each of these two letter words can be
> > extended to a three letter word by addind any of the six letters.
Thus
> > there are 6x6x6 = 216 possible three letter words. Continuing in
this
> > fashion, with no taboo there are 6x6x6x6x6x6 = 66 = 46656 possible
six
> > letter words."
> >
> > >
> > >
> > > "pcbutts1" wrote
> > > > An anthropologist discovers an isolated tribe whose written
alphabet
> > > > contains only six letters (call the letters A, B, C, D, E, and
F).
> > The tribe
> > > > has a taboo against using the same letter twice in the same
word.
> > It's never
> > > > done. If each different sequence of letters constitutes a
different
> > word in
> > > > the language, what is the maximum number of six-letter words
that
> > the
> > > > language can employ?
> > > >
> > > > Yes this is homework.
> > > > --
> > > >
> > > >
> > > > The best live web video on the internet
> > http://www.seedsv.com/webdemo.htm
> > > > Sharpvision simply the best http://www.seedsv.com
> > > >
> > > >
> > > >
> > > >
> > > >
> >
> >
>
>

"bb3" wrote:
> "Liz" <> wrote in message
> news:LR2lb.9792$%...
> > 46656 possible six letter words.
> > http://mathcentral.uregina.ca/QQ/dat.../freitag1.html
>
> But isn't this only if the same letter can be used twice? The scenario
> states "The tribe
> has a taboo against using the same letter twice in the same word. It's
> never done." If the same letter can't be used twice, then isn't the
> answer 6x5x4x3x2x1=720?

I sent "pcbutts1" a link; the answer is in the link.
The link title should be "46656 possible six letter words?"
instead of a period. My mistake!

To determine the number of different ways a group of letters
can be arranged, use the factorial of the number of letters in the group.
Yes, 6 letters can be arranged in 720 ways.
6!=(6x5x4x3x2x1)=720

Give the boy a cigar!

My pleasure. Did you see my post to bb3?


"pcbutts1" wrote:
> Thank you Liz I was right but did not know how I was right, now I do.
>
> Thanks again
>
> --
>
>
> The best live web video on the internet http://www.seedsv.com/webdemo.htm
> Sharpvision simply the best http://www.seedsv.com
>
>
>
> "Liz" <> wrote in message
> news:LR2lb.9792$%...
> > 46656 possible six letter words.
> > http://mathcentral.uregina.ca/QQ/dat.../freitag1.html
> >
> >
> > "pcbutts1" wrote
> > > An anthropologist discovers an isolated tribe whose written alphabet
> > > contains only six letters (call the letters A, B, C, D, E, and F). The
> tribe
> > > has a taboo against using the same letter twice in the same word. It's
> never
> > > done. If each different sequence of letters constitutes a different word
> in
> > > the language, what is the maximum number of six-letter words that the
> > > language can employ?
> > >
> > > Yes this is homework.
> > > --
> > >
> > >
> > > The best live web video on the internet
> http://www.seedsv.com/webdemo.htm
> > > Sharpvision simply the best http://www.seedsv.com
> > >
> > >
> > >
> > >
> > >
>
>

"Liz" <> wrote in message
news:Qlblb.55868$...
> "bb3" wrote:
> > "Liz" <> wrote in message
> > news:LR2lb.9792$%...
> > > 46656 possible six letter words.
> > > http://mathcentral.uregina.ca/QQ/dat.../freitag1.html
> >
> > But isn't this only if the same letter can be used twice? The
scenario
> > states "The tribe
> > has a taboo against using the same letter twice in the same word.
It's
> > never done." If the same letter can't be used twice, then isn't the
> > answer 6x5x4x3x2x1=720?
>
> I sent "pcbutts1" a link; the answer is in the link.
> The link title should be "46656 possible six letter words?"
> instead of a period. My mistake!
>
> To determine the number of different ways a group of letters
> can be arranged, use the factorial of the number of letters in the
group.
> Yes, 6 letters can be arranged in 720 ways.
> 6!=(6x5x4x3x2x1)=720
>
> Give the boy a cigar!
>

Thank you dear.