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 ?
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 :
\(\begin{array}{rcl} 1 && sssssss \\ 2 && sssssno \\ 3 && ssssswm \\ 4 && sssssan \\ 5 && ssssnos \\ 6 && sssswms \\ 7 && ssssans \\ 8 && sssnoss \\ 9 && sssnono \\ 10 && sssnowm \\ 11 && sssnoan \\ 12 && ssswmss \\ 13 && ssswmno \\ 14 && ssswmwm \\ 15 && ssswman \\ 16 && sssanss \\ 17 && sssanno \\ 18 && sssanwm \\ 19 && sssanan \\ 20 && ssnosss \\ 21 && ssnosno \\ 22 && ssnoswm \\ 23 && ssnosan \\ 24 && ssnonos \\ 25 && ssnowms \\ 26 && ssnoans \\ 27 && sswmsss \\ 28 && sswmsno \\ 29 && sswmswm \\ 30 && sswmsan \\ 31 && sswmnos \\ 32 && sswmwms \\ 33 && sswmans \\ 34 && ssansss \\ 35 && ssansno \\ 36 && ssanswm \\ 37 && ssansan \\ 38 && ssannos \\ 39 && ssanwms \\ 40 && ssanans \\ 41 && snossss \\ 42 && snossno \\ 43 && snosswm \\ 44 && snossan \\ 45 && snosnos \\ 46 && snoswms \\ 47 && snosans \\ 48 && snonoss \\ 49 && snonono \\ 50 && snonowm \\ \end{array} \begin{array}{rcl} 51 && snonoan \\ 52 && snowmss \\ 53 && snowmno \\ 54 && snowmwm \\ 55 && snowman \\ 56 && snoanss \\ 57 && snoanno \\ 58 && snoanwm \\ 59 && snoanan \\ 60 && swmssss \\ 61 && swmssno \\ 62 && swmsswm \\ 63 && swmssan \\ 64 && swmsnos \\ 65 && swmswms \\ 66 && swmsans \\ 67 && swmnoss \\ 68 && swmnono \\ 69 && swmnowm \\ 70 && swmnoan \\ 71 && swmwmss \\ 72 && swmwmno \\ 73 && swmwmwm \\ 74 && swmwman \\ 75 && swmanss \\ 76 && swmanno \\ 77 && swmanwm \\ 78 && swmanan \\ 79 && sanssss \\ 80 && sanssno \\ 81 && sansswm \\ 82 && sanssan \\ 83 && sansnos \\ 84 && sanswms \\ 85 && sansans \\ 86 && sannoss \\ 87 && sannono \\ 88 && sannowm \\ 89 && sannoan \\ 90 && sanwmss \\ 91 && sanwmno \\ 92 && sanwmwm \\ 93 && sanwman \\ 94 && sananss \\ 95 && sananno \\ 96 && sananwm \\ 97 && sananan \\ 98 && nosssss \\ 99 && nosssno \\ 100 && nossswm \\ \end{array} \begin{array}{rcl} 101 && nosssan \\ 102 && nossnos \\ 103 && nosswms \\ 104 && nossans \\ 105 && nosnoss \\ 106 && nosnono \\ 107 && nosnowm \\ 108 && nosnoan \\ 109 && noswmss \\ 110 && noswmno \\ 111 && noswmwm \\ 112 && noswman \\ 113 && nosanss \\ 114 && nosanno \\ 115 && nosanwm \\ 116 && nosanan \\ 117 && nonosss \\ 118 && nonosno \\ 119 && nonoswm \\ 120 && nonosan \\ 121 && nononos \\ 122 && nonowms \\ 123 && nonoans \\ 124 && nowmsss \\ 125 && nowmsno \\ 126 && nowmswm \\ 127 && nowmsan \\ 128 && nowmnos \\ 129 && nowmwms \\ 130 && nowmans \\ 131 && noansss \\ 132 && noansno \\ 133 && noanswm \\ 134 && noansan \\ 135 && noannos \\ 136 && noanwms \\ 137 && noanans \\ 138 && wmsssss \\ 139 && wmsssno \\ 140 && wmssswm \\ 141 && wmsssan \\ 142 && wmssnos \\ 143 && wmsswms \\ 144 && wmssans \\ 145 && wmsnoss \\ 146 && wmsnono \\ 147 && wmsnowm \\ 148 && wmsnoan \\ 149 && wmswmss \\ 150 && wmswmno \\ \end{array} \begin{array}{rcl} 151 && wmswmwm \\ 152 && wmswman \\ 153 && wmsanss \\ 154 && wmsanno \\ 155 && wmsanwm \\ 156 && wmsanan \\ 157 && wmnosss \\ 158 && wmnosno \\ 159 && wmnoswm \\ 160 && wmnosan \\ 161 && wmnonos \\ 162 && wmnowms \\ 163 && wmnoans \\ 164 && wmwmsss \\ 165 && wmwmsno \\ 166 && wmwmswm \\ 167 && wmwmsan \\ 168 && wmwmnos \\ 169 && wmwmwms \\ 170 && wmwmans \\ 171 && wmansss \\ 172 && wmansno \\ 173 && wmanswm \\ 174 && wmansan \\ 175 && wmannos \\ 176 && wmanwms \\ 177 && wmanans \\ 178 && ansssss \\ 179 && ansssno \\ 180 && anssswm \\ 181 && ansssan \\ 182 && anssnos \\ 183 && ansswms \\ 184 && anssans \\ 185 && ansnoss \\ 186 && ansnono \\ 187 && ansnowm \\ 188 && ansnoan \\ 189 && answmss \\ 190 && answmno \\ 191 && answmwm \\ 192 && answman \\ 193 && ansanss \\ 194 && ansanno \\ 195 && ansanwm \\ 196 && ansanan \\ 197 && annosss \\ 198 && annosno \\ 199 && annoswm \\ 200 && annosan \\ \end{array} \begin{array}{rcl} 201 && annonos \\ 202 && annowms \\ 203 && annoans \\ 204 && anwmsss \\ 205 && anwmsno \\ 206 && anwmswm \\ 207 && anwmsan \\ 208 && anwmnos \\ 209 && anwmwms \\ 210 && anwmans \\ 211 && anansss \\ 212 && anansno \\ 213 && ananswm \\ 214 && anansan \\ 215 && anannos \\ 216 && ananwms \\ 217 && ananans \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \end{array}\)
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!
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
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 :
\(\begin{array}{rcl} 1 && sssssss \\ 2 && sssssno \\ 3 && ssssswm \\ 4 && sssssan \\ 5 && ssssnos \\ 6 && sssswms \\ 7 && ssssans \\ 8 && sssnoss \\ 9 && sssnono \\ 10 && sssnowm \\ 11 && sssnoan \\ 12 && ssswmss \\ 13 && ssswmno \\ 14 && ssswmwm \\ 15 && ssswman \\ 16 && sssanss \\ 17 && sssanno \\ 18 && sssanwm \\ 19 && sssanan \\ 20 && ssnosss \\ 21 && ssnosno \\ 22 && ssnoswm \\ 23 && ssnosan \\ 24 && ssnonos \\ 25 && ssnowms \\ 26 && ssnoans \\ 27 && sswmsss \\ 28 && sswmsno \\ 29 && sswmswm \\ 30 && sswmsan \\ 31 && sswmnos \\ 32 && sswmwms \\ 33 && sswmans \\ 34 && ssansss \\ 35 && ssansno \\ 36 && ssanswm \\ 37 && ssansan \\ 38 && ssannos \\ 39 && ssanwms \\ 40 && ssanans \\ 41 && snossss \\ 42 && snossno \\ 43 && snosswm \\ 44 && snossan \\ 45 && snosnos \\ 46 && snoswms \\ 47 && snosans \\ 48 && snonoss \\ 49 && snonono \\ 50 && snonowm \\ \end{array} \begin{array}{rcl} 51 && snonoan \\ 52 && snowmss \\ 53 && snowmno \\ 54 && snowmwm \\ 55 && snowman \\ 56 && snoanss \\ 57 && snoanno \\ 58 && snoanwm \\ 59 && snoanan \\ 60 && swmssss \\ 61 && swmssno \\ 62 && swmsswm \\ 63 && swmssan \\ 64 && swmsnos \\ 65 && swmswms \\ 66 && swmsans \\ 67 && swmnoss \\ 68 && swmnono \\ 69 && swmnowm \\ 70 && swmnoan \\ 71 && swmwmss \\ 72 && swmwmno \\ 73 && swmwmwm \\ 74 && swmwman \\ 75 && swmanss \\ 76 && swmanno \\ 77 && swmanwm \\ 78 && swmanan \\ 79 && sanssss \\ 80 && sanssno \\ 81 && sansswm \\ 82 && sanssan \\ 83 && sansnos \\ 84 && sanswms \\ 85 && sansans \\ 86 && sannoss \\ 87 && sannono \\ 88 && sannowm \\ 89 && sannoan \\ 90 && sanwmss \\ 91 && sanwmno \\ 92 && sanwmwm \\ 93 && sanwman \\ 94 && sananss \\ 95 && sananno \\ 96 && sananwm \\ 97 && sananan \\ 98 && nosssss \\ 99 && nosssno \\ 100 && nossswm \\ \end{array} \begin{array}{rcl} 101 && nosssan \\ 102 && nossnos \\ 103 && nosswms \\ 104 && nossans \\ 105 && nosnoss \\ 106 && nosnono \\ 107 && nosnowm \\ 108 && nosnoan \\ 109 && noswmss \\ 110 && noswmno \\ 111 && noswmwm \\ 112 && noswman \\ 113 && nosanss \\ 114 && nosanno \\ 115 && nosanwm \\ 116 && nosanan \\ 117 && nonosss \\ 118 && nonosno \\ 119 && nonoswm \\ 120 && nonosan \\ 121 && nononos \\ 122 && nonowms \\ 123 && nonoans \\ 124 && nowmsss \\ 125 && nowmsno \\ 126 && nowmswm \\ 127 && nowmsan \\ 128 && nowmnos \\ 129 && nowmwms \\ 130 && nowmans \\ 131 && noansss \\ 132 && noansno \\ 133 && noanswm \\ 134 && noansan \\ 135 && noannos \\ 136 && noanwms \\ 137 && noanans \\ 138 && wmsssss \\ 139 && wmsssno \\ 140 && wmssswm \\ 141 && wmsssan \\ 142 && wmssnos \\ 143 && wmsswms \\ 144 && wmssans \\ 145 && wmsnoss \\ 146 && wmsnono \\ 147 && wmsnowm \\ 148 && wmsnoan \\ 149 && wmswmss \\ 150 && wmswmno \\ \end{array} \begin{array}{rcl} 151 && wmswmwm \\ 152 && wmswman \\ 153 && wmsanss \\ 154 && wmsanno \\ 155 && wmsanwm \\ 156 && wmsanan \\ 157 && wmnosss \\ 158 && wmnosno \\ 159 && wmnoswm \\ 160 && wmnosan \\ 161 && wmnonos \\ 162 && wmnowms \\ 163 && wmnoans \\ 164 && wmwmsss \\ 165 && wmwmsno \\ 166 && wmwmswm \\ 167 && wmwmsan \\ 168 && wmwmnos \\ 169 && wmwmwms \\ 170 && wmwmans \\ 171 && wmansss \\ 172 && wmansno \\ 173 && wmanswm \\ 174 && wmansan \\ 175 && wmannos \\ 176 && wmanwms \\ 177 && wmanans \\ 178 && ansssss \\ 179 && ansssno \\ 180 && anssswm \\ 181 && ansssan \\ 182 && anssnos \\ 183 && ansswms \\ 184 && anssans \\ 185 && ansnoss \\ 186 && ansnono \\ 187 && ansnowm \\ 188 && ansnoan \\ 189 && answmss \\ 190 && answmno \\ 191 && answmwm \\ 192 && answman \\ 193 && ansanss \\ 194 && ansanno \\ 195 && ansanwm \\ 196 && ansanan \\ 197 && annosss \\ 198 && annosno \\ 199 && annoswm \\ 200 && annosan \\ \end{array} \begin{array}{rcl} 201 && annonos \\ 202 && annowms \\ 203 && annoans \\ 204 && anwmsss \\ 205 && anwmsno \\ 206 && anwmswm \\ 207 && anwmsan \\ 208 && anwmnos \\ 209 && anwmwms \\ 210 && anwmans \\ 211 && anansss \\ 212 && anansno \\ 213 && ananswm \\ 214 && anansan \\ 215 && anannos \\ 216 && ananwms \\ 217 && ananans \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \end{array}\)