UGC-NET | UGC NET CS 2018 Dec – II | Question 10

​Consider the vocabulary with only four propositions A,B,C and D. How many models are there for the following sentence ?

(⌐ A ∨​ ⌐B ∨​ ⌐C ∨​ ⌐ ​D) 

(A) 8
(B) 7
(C) 15
(D) 16


Answer: (C)

Explanation: There are four variables A, B, C, D. Therefore 2^4 = 16.

From 0 to 15 models are exist, but one is 0, so 15 is correct answer.

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