So I have this question my friend asked me, but I can't seem to quite get it. Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)combinatorics - $n$ students and $t$ seatsNumber of ways in which four boys and four girls sit alternately in a row and one boy and one girl are not to sit in adjacent seatsArranging objects in special wayI got 72 as an answer for this question but it says 12 is the right answer on the worksheet?In how many ways can $6$ students be seated in a row of $9$ seats if a certain $3$ students refuse to sit next to each other?Sitting in chairs with empty spacearrangements of 10 people at 3 tables with 5 seats eachTeachers and Students sitting in a line with a conditionSeating six boys and four girls around a table so that no two girls can sit next to each otherPermutations restrictions
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So I have this question my friend asked me, but I can't seem to quite get it.
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)combinatorics - $n$ students and $t$ seatsNumber of ways in which four boys and four girls sit alternately in a row and one boy and one girl are not to sit in adjacent seatsArranging objects in special wayI got 72 as an answer for this question but it says 12 is the right answer on the worksheet?In how many ways can $6$ students be seated in a row of $9$ seats if a certain $3$ students refuse to sit next to each other?Sitting in chairs with empty spacearrangements of 10 people at 3 tables with 5 seats eachTeachers and Students sitting in a line with a conditionSeating six boys and four girls around a table so that no two girls can sit next to each otherPermutations restrictions
0
$begingroup$
A class of 24 students and 2 teachers were on a cinema trip. In the cinema 6 of the students had seats next to each other. In how many different ways could they sit next to each other?
combinatorics permutations
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
asked Apr 8 at 19:06
P0peyeP0peye
1
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$
|
show 1 more comment
0
$begingroup$
A class of 24 students and 2 teachers were on a cinema trip. In the cinema 6 of the students had seats next to each other. In how many different ways could they sit next to each other?
combinatorics permutations
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
asked Apr 8 at 19:06
P0peyeP0peye
1
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
2
$begingroup$
What have you tried?
$endgroup$
– Dietrich Burde
Apr 8 at 19:07
$begingroup$
What is ''they'' signify here?
$endgroup$
– Dbchatto67
Apr 8 at 19:08
$begingroup$
If ''they'' signifies students then the answer is $18! times 6.$
$endgroup$
– Dbchatto67
Apr 8 at 19:10
$begingroup$
They signify the students.
$endgroup$
– P0peye
Apr 8 at 19:24
1
$begingroup$
Yes $6! = 720$ is the number of ways those particular six students could sit in a row of 6 seats. But then why bring up the other eighteen students and the teachers?
$endgroup$
– Ned
Apr 8 at 21:50
|
show 1 more comment
0
0
0
$begingroup$
A class of 24 students and 2 teachers were on a cinema trip. In the cinema 6 of the students had seats next to each other. In how many different ways could they sit next to each other?
combinatorics permutations
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
asked Apr 8 at 19:06
P0peyeP0peye
1
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
A class of 24 students and 2 teachers were on a cinema trip. In the cinema 6 of the students had seats next to each other. In how many different ways could they sit next to each other?
combinatorics permutations
combinatorics permutations
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
asked Apr 8 at 19:06
P0peyeP0peye
1
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
asked Apr 8 at 19:06
P0peyeP0peye
1
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
edited Apr 9 at 14:04
N. F. Taussig
45.3k103358
45.3k103358
asked Apr 8 at 19:06
P0peyeP0peye
1
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 8 at 19:06
P0peyeP0peye
1
asked Apr 8 at 19:06
P0peyeP0peye
1
1
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
P0peye is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
2
$begingroup$
What have you tried?
$endgroup$
– Dietrich Burde
Apr 8 at 19:07
$begingroup$
What is ''they'' signify here?
$endgroup$
– Dbchatto67
Apr 8 at 19:08
$begingroup$
If ''they'' signifies students then the answer is $18! times 6.$
$endgroup$
– Dbchatto67
Apr 8 at 19:10
$begingroup$
They signify the students.
$endgroup$
– P0peye
Apr 8 at 19:24
1
$begingroup$
Yes $6! = 720$ is the number of ways those particular six students could sit in a row of 6 seats. But then why bring up the other eighteen students and the teachers?
$endgroup$
– Ned
Apr 8 at 21:50
|
show 1 more comment
2
$begingroup$
What have you tried?
$endgroup$
– Dietrich Burde
Apr 8 at 19:07
$begingroup$
What is ''they'' signify here?
$endgroup$
– Dbchatto67
Apr 8 at 19:08
$begingroup$
If ''they'' signifies students then the answer is $18! times 6.$
$endgroup$
– Dbchatto67
Apr 8 at 19:10
$begingroup$
They signify the students.
$endgroup$
– P0peye
Apr 8 at 19:24
1
$begingroup$
Yes $6! = 720$ is the number of ways those particular six students could sit in a row of 6 seats. But then why bring up the other eighteen students and the teachers?
$endgroup$
– Ned
Apr 8 at 21:50
2
2
$begingroup$
What have you tried?
$endgroup$
– Dietrich Burde
Apr 8 at 19:07
$begingroup$
What have you tried?
$endgroup$
– Dietrich Burde
Apr 8 at 19:07
$begingroup$
What is ''they'' signify here?
$endgroup$
– Dbchatto67
Apr 8 at 19:08
$begingroup$
What is ''they'' signify here?
$endgroup$
– Dbchatto67
Apr 8 at 19:08
$begingroup$
If ''they'' signifies students then the answer is $18! times 6.$
$endgroup$
– Dbchatto67
Apr 8 at 19:10
$begingroup$
If ''they'' signifies students then the answer is $18! times 6.$
$endgroup$
– Dbchatto67
Apr 8 at 19:10
$begingroup$
They signify the students.
$endgroup$
– P0peye
Apr 8 at 19:24
$begingroup$
They signify the students.
$endgroup$
– P0peye
Apr 8 at 19:24
1
1
$begingroup$
Yes $6! = 720$ is the number of ways those particular six students could sit in a row of 6 seats. But then why bring up the other eighteen students and the teachers?
$endgroup$
– Ned
Apr 8 at 21:50
$begingroup$
Yes $6! = 720$ is the number of ways those particular six students could sit in a row of 6 seats. But then why bring up the other eighteen students and the teachers?
$endgroup$
– Ned
Apr 8 at 21:50
|
show 1 more comment
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2
$begingroup$
What have you tried?
$endgroup$
– Dietrich Burde
Apr 8 at 19:07
$begingroup$
What is ''they'' signify here?
$endgroup$
– Dbchatto67
Apr 8 at 19:08
$begingroup$
If ''they'' signifies students then the answer is $18! times 6.$
$endgroup$
– Dbchatto67
Apr 8 at 19:10
$begingroup$
They signify the students.
$endgroup$
– P0peye
Apr 8 at 19:24
1
$begingroup$
Yes $6! = 720$ is the number of ways those particular six students could sit in a row of 6 seats. But then why bring up the other eighteen students and the teachers?
$endgroup$
– Ned
Apr 8 at 21:50