how many time , we can send $n$ object in not correct places












0












$begingroup$


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 )










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$endgroup$








  • 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


















0












$begingroup$


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 )










share|cite|improve this question











$endgroup$








  • 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
















0












0








0


1



$begingroup$


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 )










share|cite|improve this question











$endgroup$




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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








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
















  • 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












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