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GATE | GATE CS 1997 | Question 18

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In a lattice defined by the Hasse diagram given in figure 3.3, how many complements does the element ‘e’ have? asd           (A) 2 (B) 3 (C) 0 (D) 1

Answer: (B)

Explanation: The element e has 3 complements – g,c and d-  e\vee g=a \text{ and } e\wedge g=f\\ e\vee c=a \text{ and } e\wedge c=f\\ e\vee d=a \text{ and } e\wedge d=f So option B is correct.

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Last Updated : 13 Nov, 2017
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