GATE Overflow Test Series | Mock GATE | Test 4 | Question: 31
Consider a Poset on set $A=\{a_1,a_2,\ldots, a_n,x,y\}$ such that $x\leq a_i$ for $i = 1,2,3,4,\dots, n $ $a_i \leq y$ for $i = 1,2,3,4,\dots, n $ For any given values of $x$ and $y,$ the number of ways in which the given partial order can be converted to a Totally Ordered Set is ________ $n!$ $(n+1)!$ $n$ $1$
Consider a Poset on set $A=\{a_1,a_2,\ldots, a_n,x,y\}$ such that$x\leq a_i$ for $i = 1,2,3,4,\dots, n $$a_i \leq y$ for $i = 1,2,3,4,\dots, n $For any given values of $x...