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Hello, if you could please answer the bellow question, with a easy to follow method, I would be most grateful

 

A language has 7 total letters in their alphabet.  S, NO, WM, AN.  Every word in this language adds up to 7 letters. The letters that are together have to stay together in every word (W will always be followed by M) . For example "snonono" and "sssanwm" are words in this language, and "sssmwan" or "sssawmn" are not

 

How many total words are there in this alphabet ?

 Dec 17, 2015

Best Answer 

 #6
avatar+26397 
+10

Hello, if you could please answer the bellow question, with a easy to follow method, I would be most grateful

A language has 7 total letters in their alphabet.  S, NO, WM, AN.  Every word in this language adds up to 7 letters. The letters that are together have to stay together in every word (W will always be followed by M) . For example "snonono" and "sssanwm" are words in this language, and "sssmwan" or "sssawmn" are not

How many total words are there in this alphabet ?

 

Is  an + no  = ano and  anno in this alphabet ?

 

If an + no = anno :

 

1sssssss2sssssno3ssssswm4sssssan5ssssnos6sssswms7ssssans8sssnoss9sssnono10sssnowm11sssnoan12ssswmss13ssswmno14ssswmwm15ssswman16sssanss17sssanno18sssanwm19sssanan20ssnosss21ssnosno22ssnoswm23ssnosan24ssnonos25ssnowms26ssnoans27sswmsss28sswmsno29sswmswm30sswmsan31sswmnos32sswmwms33sswmans34ssansss35ssansno36ssanswm37ssansan38ssannos39ssanwms40ssanans41snossss42snossno43snosswm44snossan45snosnos46snoswms47snosans48snonoss49snonono50snonowm51snonoan52snowmss53snowmno54snowmwm55snowman56snoanss57snoanno58snoanwm59snoanan60swmssss61swmssno62swmsswm63swmssan64swmsnos65swmswms66swmsans67swmnoss68swmnono69swmnowm70swmnoan71swmwmss72swmwmno73swmwmwm74swmwman75swmanss76swmanno77swmanwm78swmanan79sanssss80sanssno81sansswm82sanssan83sansnos84sanswms85sansans86sannoss87sannono88sannowm89sannoan90sanwmss91sanwmno92sanwmwm93sanwman94sananss95sananno96sananwm97sananan98nosssss99nosssno100nossswm101nosssan102nossnos103nosswms104nossans105nosnoss106nosnono107nosnowm108nosnoan109noswmss110noswmno111noswmwm112noswman113nosanss114nosanno115nosanwm116nosanan117nonosss118nonosno119nonoswm120nonosan121nononos122nonowms123nonoans124nowmsss125nowmsno126nowmswm127nowmsan128nowmnos129nowmwms130nowmans131noansss132noansno133noanswm134noansan135noannos136noanwms137noanans138wmsssss139wmsssno140wmssswm141wmsssan142wmssnos143wmsswms144wmssans145wmsnoss146wmsnono147wmsnowm148wmsnoan149wmswmss150wmswmno151wmswmwm152wmswman153wmsanss154wmsanno155wmsanwm156wmsanan157wmnosss158wmnosno159wmnoswm160wmnosan161wmnonos162wmnowms163wmnoans164wmwmsss165wmwmsno166wmwmswm167wmwmsan168wmwmnos169wmwmwms170wmwmans171wmansss172wmansno173wmanswm174wmansan175wmannos176wmanwms177wmanans178ansssss179ansssno180anssswm181ansssan182anssnos183ansswms184anssans185ansnoss186ansnono187ansnowm188ansnoan189answmss190answmno191answmwm192answman193ansanss194ansanno195ansanwm196ansanan197annosss198annosno199annoswm200annosan201annonos202annowms203annoans204anwmsss205anwmsno206anwmswm207anwmsan208anwmnos209anwmwms210anwmans211anansss212anansno213ananswm214anansan215anannos216ananwms217ananans

 

 

laugh

 Dec 18, 2015
 #1
avatar+33658 
0

There are 4 groups of letters, so there are 4! = 24 possible words.  This assumes there are no repeats.

 

Edited to correct from 5 to 4 groups (I obviously can't count!).

 

But repeats seem to be allowed, so more thought required!

 Dec 17, 2015
edited by Alan  Dec 17, 2015
edited by Alan  Dec 17, 2015
 #2
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0

But there are not 5 groups of letters because some combinations go over 7 letters. Also there are 4 groups of letters. That didnt answer the quastion

 Dec 17, 2015
 #3
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0

Alan: He seems to allow "repeats" Will it be different?

 Dec 17, 2015
 #4
avatar+8581 
0

These are always so tricky!

 Dec 17, 2015
 #5
avatar+33658 
+5

Ok.  I think these are the possibilities:

 

words

.

 Dec 17, 2015
 #6
avatar+26397 
+10
Best Answer

Hello, if you could please answer the bellow question, with a easy to follow method, I would be most grateful

A language has 7 total letters in their alphabet.  S, NO, WM, AN.  Every word in this language adds up to 7 letters. The letters that are together have to stay together in every word (W will always be followed by M) . For example "snonono" and "sssanwm" are words in this language, and "sssmwan" or "sssawmn" are not

How many total words are there in this alphabet ?

 

Is  an + no  = ano and  anno in this alphabet ?

 

If an + no = anno :

 

1sssssss2sssssno3ssssswm4sssssan5ssssnos6sssswms7ssssans8sssnoss9sssnono10sssnowm11sssnoan12ssswmss13ssswmno14ssswmwm15ssswman16sssanss17sssanno18sssanwm19sssanan20ssnosss21ssnosno22ssnoswm23ssnosan24ssnonos25ssnowms26ssnoans27sswmsss28sswmsno29sswmswm30sswmsan31sswmnos32sswmwms33sswmans34ssansss35ssansno36ssanswm37ssansan38ssannos39ssanwms40ssanans41snossss42snossno43snosswm44snossan45snosnos46snoswms47snosans48snonoss49snonono50snonowm51snonoan52snowmss53snowmno54snowmwm55snowman56snoanss57snoanno58snoanwm59snoanan60swmssss61swmssno62swmsswm63swmssan64swmsnos65swmswms66swmsans67swmnoss68swmnono69swmnowm70swmnoan71swmwmss72swmwmno73swmwmwm74swmwman75swmanss76swmanno77swmanwm78swmanan79sanssss80sanssno81sansswm82sanssan83sansnos84sanswms85sansans86sannoss87sannono88sannowm89sannoan90sanwmss91sanwmno92sanwmwm93sanwman94sananss95sananno96sananwm97sananan98nosssss99nosssno100nossswm101nosssan102nossnos103nosswms104nossans105nosnoss106nosnono107nosnowm108nosnoan109noswmss110noswmno111noswmwm112noswman113nosanss114nosanno115nosanwm116nosanan117nonosss118nonosno119nonoswm120nonosan121nononos122nonowms123nonoans124nowmsss125nowmsno126nowmswm127nowmsan128nowmnos129nowmwms130nowmans131noansss132noansno133noanswm134noansan135noannos136noanwms137noanans138wmsssss139wmsssno140wmssswm141wmsssan142wmssnos143wmsswms144wmssans145wmsnoss146wmsnono147wmsnowm148wmsnoan149wmswmss150wmswmno151wmswmwm152wmswman153wmsanss154wmsanno155wmsanwm156wmsanan157wmnosss158wmnosno159wmnoswm160wmnosan161wmnonos162wmnowms163wmnoans164wmwmsss165wmwmsno166wmwmswm167wmwmsan168wmwmnos169wmwmwms170wmwmans171wmansss172wmansno173wmanswm174wmansan175wmannos176wmanwms177wmanans178ansssss179ansssno180anssswm181ansssan182anssnos183ansswms184anssans185ansnoss186ansnono187ansnowm188ansnoan189answmss190answmno191answmwm192answman193ansanss194ansanno195ansanwm196ansanan197annosss198annosno199annoswm200annosan201annonos202annowms203annoans204anwmsss205anwmsno206anwmswm207anwmsan208anwmnos209anwmwms210anwmans211anansss212anansno213ananswm214anansan215anannos216ananwms217ananans

 

 

laugh

heureka Dec 18, 2015

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