How many distinct 4 letter words can be created using the 26 alphabets.











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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.










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    $26.26.26.26$????
    – user87543
    Oct 7 '13 at 11:54















up vote
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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.










share|cite|improve this question


















  • 2




    $26.26.26.26$????
    – user87543
    Oct 7 '13 at 11:54













up vote
2
down vote

favorite









up vote
2
down vote

favorite











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.










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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






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asked Oct 7 '13 at 11:53









karthik reddy

113113




113113








  • 2




    $26.26.26.26$????
    – user87543
    Oct 7 '13 at 11:54














  • 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










3 Answers
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5
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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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    up vote
    2
    down vote













    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






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    • Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
      – ashleedawg
      Nov 10 at 23:12


















    up vote
    -1
    down vote













    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.






    share|cite|improve this answer





















    • 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 at 6:56











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    3 Answers
    3






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    3 Answers
    3






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    active

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    active

    oldest

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    up vote
    5
    down vote



    accepted










    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.






    share|cite|improve this answer

























      up vote
      5
      down vote



      accepted










      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.






      share|cite|improve this answer























        up vote
        5
        down vote



        accepted







        up vote
        5
        down vote



        accepted






        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.






        share|cite|improve this answer












        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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        answered Oct 7 '13 at 11:59









        amWhy

        191k27223439




        191k27223439






















            up vote
            2
            down vote













            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






            share|cite|improve this answer





















            • Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
              – ashleedawg
              Nov 10 at 23:12















            up vote
            2
            down vote













            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






            share|cite|improve this answer





















            • Good thinking about vowels.. but wouldn't any English word need a vowel within within the middle-two letters?
              – ashleedawg
              Nov 10 at 23:12













            up vote
            2
            down vote










            up vote
            2
            down vote









            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






            share|cite|improve this answer












            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







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            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 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 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 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 at 23:12










            up vote
            -1
            down vote













            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.






            share|cite|improve this answer





















            • 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 at 6:56















            up vote
            -1
            down vote













            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.






            share|cite|improve this answer





















            • 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 at 6:56













            up vote
            -1
            down vote










            up vote
            -1
            down vote









            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.






            share|cite|improve this answer












            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.







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            answered Nov 21 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 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 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 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 at 6:56


















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