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Category: Permutation and Combination

10-couples-are-invited-to-a-dinner-after-the-dinner-they-form-pairs-to-dance-in-how-many-ways-can-they-do-this-1-generally-2-a-man-should-dance-with-a-woman-3-as-2-but-two-special-couples-

Question Number 218578 by mr W last updated on 13/Apr/25 10couplesareinvitedtoadinner.afterthedinnertheyformpairstodance.inhowmanywayscantheydothis,1)generally2)amanshoulddancewithawoman3)as2),buttwospecialcouples$$\:\:\:\:\:{should}\:{not}\:{dance}\:{with}\:{each}\:{other}…

10-couples-are-invited-to-a-dinner-and-should-be-seated-at-a-round-table-in-how-many-ways-can-the-host-do-this-1-generally-2-if-the-husband-and-the-wife-of-each-couple-should-sit-together-3

Question Number 218310 by mr W last updated on 06/Apr/25 10couplesareinvitedtoadinnerandshouldbeseatedataroundtable.inhowmanywayscanthehostdothis,1)generally.2)ifthehusbandandthewifeofeachcoupleshouldsittogether.$$\left.\mathrm{3}\right)\:{if}\:{no}\:{two}\:{men}\:{should}\:{sit}\:{next}…

10-couples-are-invited-to-a-dinner-and-should-be-seated-at-a-round-table-in-how-many-ways-can-the-host-do-this-1-generally-2-if-two-men-should-not-sit-next-to-each-other-3-as-2-but-two-spe

Question Number 218299 by mr W last updated on 05/Apr/25 10couplesareinvitedtoadinnerandshouldbeseatedataroundtable.inhowmanywayscanthehostdothis,1)generally2)iftwomenshouldnotsitnexttoeachother$$\left.\mathrm{3}\left.\right)\:{as}\:\mathrm{2}\right),\:{but}\:{two}\:{speicial}\:{couples}\:…