ménage problem
... that there are 115,200 solutions to the ménage problem of permuting six couples at a twelve-person table so that men and women alternate and are seated away from their partners?
... that there are 115,200 solutions to the <b id="mwCbU"><a href="./Ménage_problem" id="mwCbY" rel="mw:WikiLink" title="Ménage problem">ménage problem</a></b> of <a href="./Permutation" id="mwCbc" rel="mw:WikiLink" title="Permutation">permuting</a> six couples at a twelve-person table so that men and women alternate and are seated away from their partners?