how many time , we can send $n$ object in not correct places
$begingroup$
for example , we have 2 object and 2 place
object A and correct place for A is a
object B and correct place for B is b
we can 1 way to place objects in not correct places .
A in b and B in a . so .
for 3 object and 3 place , we have only 2 way .
for 4 object , we have 9 way .
for n object how many way its be ?
( sorry for my english writting )
combinatorics
$endgroup$
add a comment |
$begingroup$
for example , we have 2 object and 2 place
object A and correct place for A is a
object B and correct place for B is b
we can 1 way to place objects in not correct places .
A in b and B in a . so .
for 3 object and 3 place , we have only 2 way .
for 4 object , we have 9 way .
for n object how many way its be ?
( sorry for my english writting )
combinatorics
$endgroup$
3
$begingroup$
For 4 objects, surely you mean nine ways, not six ways. It sounds to me as though you are referring to derangements. There are $!n$ ways to arrange $n$ objects such that no object is in its "correct" place.
$endgroup$
– JMoravitz
Jan 16 at 23:43
add a comment |
$begingroup$
for example , we have 2 object and 2 place
object A and correct place for A is a
object B and correct place for B is b
we can 1 way to place objects in not correct places .
A in b and B in a . so .
for 3 object and 3 place , we have only 2 way .
for 4 object , we have 9 way .
for n object how many way its be ?
( sorry for my english writting )
combinatorics
$endgroup$
for example , we have 2 object and 2 place
object A and correct place for A is a
object B and correct place for B is b
we can 1 way to place objects in not correct places .
A in b and B in a . so .
for 3 object and 3 place , we have only 2 way .
for 4 object , we have 9 way .
for n object how many way its be ?
( sorry for my english writting )
combinatorics
combinatorics
edited Jan 17 at 0:03
Key Flex
8,58171233
8,58171233
asked Jan 16 at 23:37
Amin PouladiAmin Pouladi
11
11
3
$begingroup$
For 4 objects, surely you mean nine ways, not six ways. It sounds to me as though you are referring to derangements. There are $!n$ ways to arrange $n$ objects such that no object is in its "correct" place.
$endgroup$
– JMoravitz
Jan 16 at 23:43
add a comment |
3
$begingroup$
For 4 objects, surely you mean nine ways, not six ways. It sounds to me as though you are referring to derangements. There are $!n$ ways to arrange $n$ objects such that no object is in its "correct" place.
$endgroup$
– JMoravitz
Jan 16 at 23:43
3
3
$begingroup$
For 4 objects, surely you mean nine ways, not six ways. It sounds to me as though you are referring to derangements. There are $!n$ ways to arrange $n$ objects such that no object is in its "correct" place.
$endgroup$
– JMoravitz
Jan 16 at 23:43
$begingroup$
For 4 objects, surely you mean nine ways, not six ways. It sounds to me as though you are referring to derangements. There are $!n$ ways to arrange $n$ objects such that no object is in its "correct" place.
$endgroup$
– JMoravitz
Jan 16 at 23:43
add a comment |
0
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$begingroup$
For 4 objects, surely you mean nine ways, not six ways. It sounds to me as though you are referring to derangements. There are $!n$ ways to arrange $n$ objects such that no object is in its "correct" place.
$endgroup$
– JMoravitz
Jan 16 at 23:43