2 2 votes The poset $P=\{1,2,3,4,5,6,12\}$ of factors of 12 under divisibility then the greatest element of $P$ is12126 Set Theory & Algebra discrete-mathematics goclasses goclasses-cs-dpp goclasses-cs-dpp-day-238 goclasses-dm-practice-questions set-theory + – GO Classes 233 views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
3 3 votes . Meticulous_March answered Apr 6 Meticulous_March comment Share Follow 0 reply Please log in or register to add a comment.
0 0 votes we can do this question by drawing hasse diagram for the give problem Nof Different relation for the given set. 1. Remove self loop created with nodes .2. Remove Transitive relation (arrow ) edges between arrow. As twelve is divisible by element of of every set. then it is a greatest elment of set P . so option C is corrrect. akash_kumar 9 answered Apr 6 akash_kumar 9 comment Share Follow See 1 comment 1 1 comment reply NowOrNever commented May 17 reply Follow flag The greatest element means all the elements in the set has to be connected to it in this question there is no such element "5 is not connected to 12 so 12 is not the gretest element". 0 0 replyShare Please log in or register to add a comment.