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 $6$.
combinatorics permutations
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add a comment |
$begingroup$
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 $6$.
combinatorics permutations
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3
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Just view your problem as 5 $A$s, 3 $C$s, and 3 "Siamese-twin $B$s".
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– David G. Stork
Nov 29 '18 at 2:19
add a comment |
$begingroup$
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 $6$.
combinatorics permutations
$endgroup$
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
combinatorics permutations
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
add a comment |
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
add a comment |
0
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$begingroup$
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