In how many ways can $3$ boys and $2$ girls sit in a row, where none of the 3 boys can sit next to an another...
0
$begingroup$
As I see it, the row can only be formed in that way : $BGBGB$ which means that there are $3!cdot2! = 12$ ways but my book says that the answer is $24$. Am I missing something ?
combinatorics permutations
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
$endgroup$
add a comment |
0
$begingroup$
As I see it, the row can only be formed in that way : $BGBGB$ which means that there are $3!cdot2! = 12$ ways but my book says that the answer is $24$. Am I missing something ?
combinatorics permutations
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
$endgroup$
$begingroup$
Unless the question says something else or we are missing some assumption that is being made I'd say your approach and answer are correct.
$endgroup$
– Anguepa
Dec 9 '18 at 15:02
$begingroup$
I assumed from the start that they have made a typo in the answer but I wanted to be sure. Another some kind of off-topic question: How can I import Mathjax to a post ?
$endgroup$
– NickDelta
Dec 9 '18 at 15:14
$begingroup$
No idea sorry, you might find answers here or here.
$endgroup$
– Anguepa
Dec 9 '18 at 15:18
$begingroup$
Welcome to MathSE. Your solution is correct. This tutorial explains how to use MathJax on this site.
$endgroup$
– N. F. Taussig
Dec 9 '18 at 16:00
add a comment |
0
0
0
$begingroup$
As I see it, the row can only be formed in that way : $BGBGB$ which means that there are $3!cdot2! = 12$ ways but my book says that the answer is $24$. Am I missing something ?
combinatorics permutations
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
$endgroup$
As I see it, the row can only be formed in that way : $BGBGB$ which means that there are $3!cdot2! = 12$ ways but my book says that the answer is $24$. Am I missing something ?
combinatorics permutations
combinatorics permutations
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
edited Dec 9 '18 at 15:58
N. F. Taussig
44.2k93356
44.2k93356
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
asked Dec 9 '18 at 14:50
NickDeltaNickDelta
285
285
$begingroup$
Unless the question says something else or we are missing some assumption that is being made I'd say your approach and answer are correct.
$endgroup$
– Anguepa
Dec 9 '18 at 15:02
$begingroup$
I assumed from the start that they have made a typo in the answer but I wanted to be sure. Another some kind of off-topic question: How can I import Mathjax to a post ?
$endgroup$
– NickDelta
Dec 9 '18 at 15:14
$begingroup$
No idea sorry, you might find answers here or here.
$endgroup$
– Anguepa
Dec 9 '18 at 15:18
$begingroup$
Welcome to MathSE. Your solution is correct. This tutorial explains how to use MathJax on this site.
$endgroup$
– N. F. Taussig
Dec 9 '18 at 16:00
add a comment |
$begingroup$
Unless the question says something else or we are missing some assumption that is being made I'd say your approach and answer are correct.
$endgroup$
– Anguepa
Dec 9 '18 at 15:02
$begingroup$
I assumed from the start that they have made a typo in the answer but I wanted to be sure. Another some kind of off-topic question: How can I import Mathjax to a post ?
$endgroup$
– NickDelta
Dec 9 '18 at 15:14
$begingroup$
No idea sorry, you might find answers here or here.
$endgroup$
– Anguepa
Dec 9 '18 at 15:18
$begingroup$
Welcome to MathSE. Your solution is correct. This tutorial explains how to use MathJax on this site.
$endgroup$
– N. F. Taussig
Dec 9 '18 at 16:00
$begingroup$
Unless the question says something else or we are missing some assumption that is being made I'd say your approach and answer are correct.
$endgroup$
– Anguepa
Dec 9 '18 at 15:02
$begingroup$
Unless the question says something else or we are missing some assumption that is being made I'd say your approach and answer are correct.
$endgroup$
– Anguepa
Dec 9 '18 at 15:02
$begingroup$
I assumed from the start that they have made a typo in the answer but I wanted to be sure. Another some kind of off-topic question: How can I import Mathjax to a post ?
$endgroup$
– NickDelta
Dec 9 '18 at 15:14
$begingroup$
I assumed from the start that they have made a typo in the answer but I wanted to be sure. Another some kind of off-topic question: How can I import Mathjax to a post ?
$endgroup$
– NickDelta
Dec 9 '18 at 15:14
$begingroup$
No idea sorry, you might find answers here or here.
$endgroup$
– Anguepa
Dec 9 '18 at 15:18
$begingroup$
No idea sorry, you might find answers here or here.
$endgroup$
– Anguepa
Dec 9 '18 at 15:18
$begingroup$
Welcome to MathSE. Your solution is correct. This tutorial explains how to use MathJax on this site.
$endgroup$
– N. F. Taussig
Dec 9 '18 at 16:00
$begingroup$
Welcome to MathSE. Your solution is correct. This tutorial explains how to use MathJax on this site.
$endgroup$
– N. F. Taussig
Dec 9 '18 at 16:00
add a comment |
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$begingroup$
Unless the question says something else or we are missing some assumption that is being made I'd say your approach and answer are correct.
$endgroup$
– Anguepa
Dec 9 '18 at 15:02
$begingroup$
I assumed from the start that they have made a typo in the answer but I wanted to be sure. Another some kind of off-topic question: How can I import Mathjax to a post ?
$endgroup$
– NickDelta
Dec 9 '18 at 15:14
$begingroup$
No idea sorry, you might find answers here or here.
$endgroup$
– Anguepa
Dec 9 '18 at 15:18
$begingroup$
Welcome to MathSE. Your solution is correct. This tutorial explains how to use MathJax on this site.
$endgroup$
– N. F. Taussig
Dec 9 '18 at 16:00