# DM - Lattice & Group -Q12

+1 vote

The no of elements which do not have complements in the above lattices is ---?

edited 8 hours ago

In  Bounded lattice B, if greatest element is 1 and least element is 0 then

Complement of  an element a is b iff $a \vee b = 1; a \wedge b =0$

So, for this lattice,

Complement of a is b and vice versa. Similarly, complement of 0 is 1 and vice versa.

No other element has a complement. S, answer is 6.

answered 7 hours ago by (112,390 points)