Counting problem k-tuples












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Let two k-tuples are said to be "2-different" if it is differ from at least two positions otherwise called 2-same . Which means (1,2,3,4) is 2-same with (1,2,3,5) and (6,2,3,4).



Now let we have 3 numbers for each coordinate of k-tuple than there are at most 3^k different k- tuples can be formed.



My question is if we have 3 numbers for each coordinate of k- tuple than at most how many 2-different k- tuples can be possible?










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  • 1




    $begingroup$
    Please edit your question to show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. For instance, have you worked out the results for $k = 1, 2, 3, 4, 5$? This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 25 at 10:50
















0












$begingroup$


Let two k-tuples are said to be "2-different" if it is differ from at least two positions otherwise called 2-same . Which means (1,2,3,4) is 2-same with (1,2,3,5) and (6,2,3,4).



Now let we have 3 numbers for each coordinate of k-tuple than there are at most 3^k different k- tuples can be formed.



My question is if we have 3 numbers for each coordinate of k- tuple than at most how many 2-different k- tuples can be possible?










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    Please edit your question to show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. For instance, have you worked out the results for $k = 1, 2, 3, 4, 5$? This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 25 at 10:50














0












0








0





$begingroup$


Let two k-tuples are said to be "2-different" if it is differ from at least two positions otherwise called 2-same . Which means (1,2,3,4) is 2-same with (1,2,3,5) and (6,2,3,4).



Now let we have 3 numbers for each coordinate of k-tuple than there are at most 3^k different k- tuples can be formed.



My question is if we have 3 numbers for each coordinate of k- tuple than at most how many 2-different k- tuples can be possible?










share|cite|improve this question









$endgroup$




Let two k-tuples are said to be "2-different" if it is differ from at least two positions otherwise called 2-same . Which means (1,2,3,4) is 2-same with (1,2,3,5) and (6,2,3,4).



Now let we have 3 numbers for each coordinate of k-tuple than there are at most 3^k different k- tuples can be formed.



My question is if we have 3 numbers for each coordinate of k- tuple than at most how many 2-different k- tuples can be possible?







combinatorics






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 25 at 9:27









SOHAIL ZAFARSOHAIL ZAFAR

1




1








  • 1




    $begingroup$
    Please edit your question to show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. For instance, have you worked out the results for $k = 1, 2, 3, 4, 5$? This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 25 at 10:50














  • 1




    $begingroup$
    Please edit your question to show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. For instance, have you worked out the results for $k = 1, 2, 3, 4, 5$? This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 25 at 10:50








1




1




$begingroup$
Please edit your question to show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. For instance, have you worked out the results for $k = 1, 2, 3, 4, 5$? This tutorial explains how to typeset mathematics on this site.
$endgroup$
– N. F. Taussig
Jan 25 at 10:50




$begingroup$
Please edit your question to show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. For instance, have you worked out the results for $k = 1, 2, 3, 4, 5$? This tutorial explains how to typeset mathematics on this site.
$endgroup$
– N. F. Taussig
Jan 25 at 10:50










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