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Answer given is option C , But vertex 10 do not have compliment then how  it can be a Boolean algebra ? 

Also please explain , as no element has compliment greater than 1 , it may or may not be distributive then is there any feasible way to differentiate between option a and d ?

Thank you !

P.S : Without using distributive law check, i think its not feasible for more number  of vertices.

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let N=p1,p2,p3... Pk . Where pi is dinstict prime then Dn is a boolen algebra.

Given lattic is{ D30 /}

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if you analyse properly then you will able to recognise that basically this lattice is represented like power set lattice of 3 elements .power set lattice  always satisfies boolean algebra as well as distributive lattice

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