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Spoilers for Tuesday 22nd January 2008

Posted: Tue Jan 22, 2008 3:54 pm
by Joseph Bolas
Did DECANTERS really come out backwards, I wasn't paying attention.

Joseph.

Re: Spoilers for Tuesday 22nd January 2008

Posted: Tue Jan 22, 2008 4:50 pm
by Craig Beevers
Yep it did.

Re: Spoilers for Tuesday 22nd January 2008

Posted: Tue Jan 22, 2008 5:04 pm
by Conor
Yes. And I started thinking about permutations and the odds of it happening, when I realized I've wondered the same thing. Making me think it's happened before.

Re: Spoilers for Tuesday 22nd January 2008

Posted: Tue Jan 22, 2008 5:15 pm
by Joseph Bolas
metalized_deionizer wrote:Yes. And I started thinking about permutations and the odds of it happening, when I realized I've wondered the same thing. Making me think it's happened before.
What are the actual odds of that happening? How would you work that out exactly?

Re: Spoilers for Tuesday 22nd January 2008

Posted: Tue Jan 22, 2008 5:41 pm
by Conor
JBolas wrote:
metalized_deionizer wrote:Yes. And I started thinking about permutations and the odds of it happening, when I realized I've wondered the same thing. Making me think it's happened before.
What are the actual odds of that happening? How would you work that out exactly?
I'll set the problem. Given the letters have been selected, find the probability the words DECANTERS is spelt backwards.
There is only one solution SRETNACED, out of 9!/2! (9 letters, but there are 2 Es) = 1/181440.

Re: Spoilers for Tuesday 22nd January 2008

Posted: Tue Jan 22, 2008 5:59 pm
by David O'Donnell
It gets more complicated when you try to work out the odds of the word SRETNACED coming out in that order on the show because you have to factor in the tile distributions.

Re: Spoilers for Tuesday 22nd January 2008

Posted: Tue Jan 22, 2008 7:06 pm
by Paul Howe
Janowsky wrote:It gets more complicated when you try to work out the odds of the word SRETNACED coming out in that order on the show because you have to factor in the tile distributions.
Also, many contestants choose their letters in blocks of vowels and consonants, making it unlikely that anything sensible is going to emerge.

Re: Spoilers for Tuesday 22nd January 2008

Posted: Fri Jan 25, 2008 12:04 am
by Julian Fell
Conor wrote:
JBolas wrote:
metalized_deionizer wrote:Yes. And I started thinking about permutations and the odds of it happening, when I realized I've wondered the same thing. Making me think it's happened before.
What are the actual odds of that happening? How would you work that out exactly?
I'll set the problem. Given the letters have been selected, find the probability the words DECANTERS is spelt backwards.
There is only one solution SRETNACED, out of 9!/2! (9 letters, but there are 2 Es) = 1/181440.
Blimey Conor, how old are you again?! *bows down"

Re: Spoilers for Tuesday 22nd January 2008

Posted: Fri Jan 25, 2008 12:55 am
by Conor
juj wrote: Blimey Conor, how old are you again?! *bows down"
16. But it's not a very difficult problem once you've simplified it to that, it's just some arrangements maths.

Re: Spoilers for Tuesday 22nd January 2008

Posted: Fri Jan 25, 2008 9:20 am
by Charlie Reams
I agree that it's not that hard but in fairness, an equivalent problem recently proved too difficult for K. Bevins BSc Maths (Hons).

Re: Spoilers for Tuesday 22nd January 2008

Posted: Fri Jan 25, 2008 12:35 pm
by Julian Fell
Hmm well it's impressive to me, I may once have known stuff like this when I was doing A-level maths - just for the short while I needed to know it so as to pass the exam - but I've certainly forgotten every last iota of it now...

Re: Spoilers for Tuesday 22nd January 2008

Posted: Fri Jan 25, 2008 5:59 pm
by Kirk Bevins
Charlie Reams wrote:I agree that it's not that hard but in fairness, an equivalent problem recently proved too difficult for K. Bevins BSc Maths (Hons).
Indeed this problem proved too complicated for me. I have no understanding of arrangements or combinations. I know how to calculate factorials and know how to calculate something such as 7C2 but giving me a wordy problem and asking how many different arrangements, I wouldn't know where to start. Nobody has been able to explain it to me - which really p***es me off.