How many different ways of arranging 5 As, 6 Bs and 3 Cs that all Bs must be in groups of $2$, $4$ or $6$?












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How many different ways of arranging 5 As, 6 Bs and 3 Cs that all Bs must be in groups of $2$, $4$ or $6$? For example, ABBCABBABBCAAC and BBBBAABBAAACCC. We learned how to arrange ABC without the restrictions but confused when arranging B as groups of $2$, $4$ or $6$.










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  • 3




    $begingroup$
    Just view your problem as 5 $A$s, 3 $C$s, and 3 "Siamese-twin $B$s".
    $endgroup$
    – David G. Stork
    Nov 29 '18 at 2:19


















0












$begingroup$


How many different ways of arranging 5 As, 6 Bs and 3 Cs that all Bs must be in groups of $2$, $4$ or $6$? For example, ABBCABBABBCAAC and BBBBAABBAAACCC. We learned how to arrange ABC without the restrictions but confused when arranging B as groups of $2$, $4$ or $6$.










share|cite|improve this question











$endgroup$








  • 3




    $begingroup$
    Just view your problem as 5 $A$s, 3 $C$s, and 3 "Siamese-twin $B$s".
    $endgroup$
    – David G. Stork
    Nov 29 '18 at 2:19
















0












0








0





$begingroup$


How many different ways of arranging 5 As, 6 Bs and 3 Cs that all Bs must be in groups of $2$, $4$ or $6$? For example, ABBCABBABBCAAC and BBBBAABBAAACCC. We learned how to arrange ABC without the restrictions but confused when arranging B as groups of $2$, $4$ or $6$.










share|cite|improve this question











$endgroup$




How many different ways of arranging 5 As, 6 Bs and 3 Cs that all Bs must be in groups of $2$, $4$ or $6$? For example, ABBCABBABBCAAC and BBBBAABBAAACCC. We learned how to arrange ABC without the restrictions but confused when arranging B as groups of $2$, $4$ or $6$.







combinatorics permutations






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edited Nov 29 '18 at 9:58









N. F. Taussig

43.8k93355




43.8k93355










asked Nov 29 '18 at 1:56









JogeJoge

6




6








  • 3




    $begingroup$
    Just view your problem as 5 $A$s, 3 $C$s, and 3 "Siamese-twin $B$s".
    $endgroup$
    – David G. Stork
    Nov 29 '18 at 2:19
















  • 3




    $begingroup$
    Just view your problem as 5 $A$s, 3 $C$s, and 3 "Siamese-twin $B$s".
    $endgroup$
    – David G. Stork
    Nov 29 '18 at 2:19










3




3




$begingroup$
Just view your problem as 5 $A$s, 3 $C$s, and 3 "Siamese-twin $B$s".
$endgroup$
– David G. Stork
Nov 29 '18 at 2:19






$begingroup$
Just view your problem as 5 $A$s, 3 $C$s, and 3 "Siamese-twin $B$s".
$endgroup$
– David G. Stork
Nov 29 '18 at 2:19












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