The number of ways in which six boys and six girls can be seated at a round table so that no two girls sit together and two particular girls do not sit next to a particular boy 15
The boys can be seated in ways.
If the girls and
do not want to sit by the side of
(say). The two gaps
and
must be filled by two of the remaining in
ways.
The other four gaps can be filled in ways.
Hence the number of ways =
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