How many distinct 4 letter words can be created using the 26 alphabets.
How many distinct 4 letter words can be created using the 26 alphabets. I have a project in which I can enter the name of the branch ID which is a 4 letter word that can be of any combinations. I want to know, how many entries can be made.
permutations
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How many distinct 4 letter words can be created using the 26 alphabets. I have a project in which I can enter the name of the branch ID which is a 4 letter word that can be of any combinations. I want to know, how many entries can be made.
permutations
2
$26.26.26.26$????
– user87543
Oct 7 '13 at 11:54
add a comment |
How many distinct 4 letter words can be created using the 26 alphabets. I have a project in which I can enter the name of the branch ID which is a 4 letter word that can be of any combinations. I want to know, how many entries can be made.
permutations
How many distinct 4 letter words can be created using the 26 alphabets. I have a project in which I can enter the name of the branch ID which is a 4 letter word that can be of any combinations. I want to know, how many entries can be made.
permutations
permutations
asked Oct 7 '13 at 11:53
karthik reddy
113113
113113
2
$26.26.26.26$????
– user87543
Oct 7 '13 at 11:54
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2
$26.26.26.26$????
– user87543
Oct 7 '13 at 11:54
2
2
$26.26.26.26$????
– user87543
Oct 7 '13 at 11:54
$26.26.26.26$????
– user87543
Oct 7 '13 at 11:54
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3 Answers
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There are $26$ distinct options for each letter, hence there are $,26cdot 26cdot 26cdot 26 = 26^4 = 456976;$ distinct four-letter "word" combinations one can form using a $26$-letter alphabet.
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One approach to this would be to assume each feasible word must contain one vowel or a "y". The remaining 3 letters can be either consonants or vowels. So there are 5*26*26*26=105,456 words where the first letter is a vowel or a "y". Take this number and multiply and you get all the words that are feasible. So, 105,446*4=421,824 total words. Sorry if the numbers are off, doing my calculations on my phone
Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
– ashleedawg
Nov 10 '18 at 23:12
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let say there are 4 word ABCD. here
'A' can have 26 letter combination to its right.
'B' can have 26 letter combination to its right
'C' can have 26 letter combination to its right
'D' can have 26 letter combination to its right
so u dont need to have a look at left combination because its already done by previous right's. there fore 26^4 will be the answer 456976.
Nobody is talking about left or right here. You would need good arguments as to why that is relevant. The question is more than 5 years old an has an accepted answer (that has the same resultt as you), making it unlikely that anybody will benefit from this answer. Spend your time wiser.
– Henrik
Nov 21 '18 at 6:56
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3 Answers
3
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3 Answers
3
active
oldest
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votes
There are $26$ distinct options for each letter, hence there are $,26cdot 26cdot 26cdot 26 = 26^4 = 456976;$ distinct four-letter "word" combinations one can form using a $26$-letter alphabet.
add a comment |
There are $26$ distinct options for each letter, hence there are $,26cdot 26cdot 26cdot 26 = 26^4 = 456976;$ distinct four-letter "word" combinations one can form using a $26$-letter alphabet.
add a comment |
There are $26$ distinct options for each letter, hence there are $,26cdot 26cdot 26cdot 26 = 26^4 = 456976;$ distinct four-letter "word" combinations one can form using a $26$-letter alphabet.
There are $26$ distinct options for each letter, hence there are $,26cdot 26cdot 26cdot 26 = 26^4 = 456976;$ distinct four-letter "word" combinations one can form using a $26$-letter alphabet.
answered Oct 7 '13 at 11:59
amWhy
191k28224439
191k28224439
add a comment |
add a comment |
One approach to this would be to assume each feasible word must contain one vowel or a "y". The remaining 3 letters can be either consonants or vowels. So there are 5*26*26*26=105,456 words where the first letter is a vowel or a "y". Take this number and multiply and you get all the words that are feasible. So, 105,446*4=421,824 total words. Sorry if the numbers are off, doing my calculations on my phone
Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
– ashleedawg
Nov 10 '18 at 23:12
add a comment |
One approach to this would be to assume each feasible word must contain one vowel or a "y". The remaining 3 letters can be either consonants or vowels. So there are 5*26*26*26=105,456 words where the first letter is a vowel or a "y". Take this number and multiply and you get all the words that are feasible. So, 105,446*4=421,824 total words. Sorry if the numbers are off, doing my calculations on my phone
Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
– ashleedawg
Nov 10 '18 at 23:12
add a comment |
One approach to this would be to assume each feasible word must contain one vowel or a "y". The remaining 3 letters can be either consonants or vowels. So there are 5*26*26*26=105,456 words where the first letter is a vowel or a "y". Take this number and multiply and you get all the words that are feasible. So, 105,446*4=421,824 total words. Sorry if the numbers are off, doing my calculations on my phone
One approach to this would be to assume each feasible word must contain one vowel or a "y". The remaining 3 letters can be either consonants or vowels. So there are 5*26*26*26=105,456 words where the first letter is a vowel or a "y". Take this number and multiply and you get all the words that are feasible. So, 105,446*4=421,824 total words. Sorry if the numbers are off, doing my calculations on my phone
answered Jul 12 '15 at 20:32
Adam Nowak
211
211
Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
– ashleedawg
Nov 10 '18 at 23:12
add a comment |
Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
– ashleedawg
Nov 10 '18 at 23:12
Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
– ashleedawg
Nov 10 '18 at 23:12
Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
– ashleedawg
Nov 10 '18 at 23:12
add a comment |
let say there are 4 word ABCD. here
'A' can have 26 letter combination to its right.
'B' can have 26 letter combination to its right
'C' can have 26 letter combination to its right
'D' can have 26 letter combination to its right
so u dont need to have a look at left combination because its already done by previous right's. there fore 26^4 will be the answer 456976.
Nobody is talking about left or right here. You would need good arguments as to why that is relevant. The question is more than 5 years old an has an accepted answer (that has the same resultt as you), making it unlikely that anybody will benefit from this answer. Spend your time wiser.
– Henrik
Nov 21 '18 at 6:56
add a comment |
let say there are 4 word ABCD. here
'A' can have 26 letter combination to its right.
'B' can have 26 letter combination to its right
'C' can have 26 letter combination to its right
'D' can have 26 letter combination to its right
so u dont need to have a look at left combination because its already done by previous right's. there fore 26^4 will be the answer 456976.
Nobody is talking about left or right here. You would need good arguments as to why that is relevant. The question is more than 5 years old an has an accepted answer (that has the same resultt as you), making it unlikely that anybody will benefit from this answer. Spend your time wiser.
– Henrik
Nov 21 '18 at 6:56
add a comment |
let say there are 4 word ABCD. here
'A' can have 26 letter combination to its right.
'B' can have 26 letter combination to its right
'C' can have 26 letter combination to its right
'D' can have 26 letter combination to its right
so u dont need to have a look at left combination because its already done by previous right's. there fore 26^4 will be the answer 456976.
let say there are 4 word ABCD. here
'A' can have 26 letter combination to its right.
'B' can have 26 letter combination to its right
'C' can have 26 letter combination to its right
'D' can have 26 letter combination to its right
so u dont need to have a look at left combination because its already done by previous right's. there fore 26^4 will be the answer 456976.
answered Nov 21 '18 at 6:33
vicky
1
1
Nobody is talking about left or right here. You would need good arguments as to why that is relevant. The question is more than 5 years old an has an accepted answer (that has the same resultt as you), making it unlikely that anybody will benefit from this answer. Spend your time wiser.
– Henrik
Nov 21 '18 at 6:56
add a comment |
Nobody is talking about left or right here. You would need good arguments as to why that is relevant. The question is more than 5 years old an has an accepted answer (that has the same resultt as you), making it unlikely that anybody will benefit from this answer. Spend your time wiser.
– Henrik
Nov 21 '18 at 6:56
Nobody is talking about left or right here. You would need good arguments as to why that is relevant. The question is more than 5 years old an has an accepted answer (that has the same resultt as you), making it unlikely that anybody will benefit from this answer. Spend your time wiser.
– Henrik
Nov 21 '18 at 6:56
Nobody is talking about left or right here. You would need good arguments as to why that is relevant. The question is more than 5 years old an has an accepted answer (that has the same resultt as you), making it unlikely that anybody will benefit from this answer. Spend your time wiser.
– Henrik
Nov 21 '18 at 6:56
add a comment |
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2
$26.26.26.26$????
– user87543
Oct 7 '13 at 11:54