Question

If a, b, and c are boolean variables such that a is true, b is false, and c is true,
which of these expressions:

I.!((a || b) && c)
II.!a && (b && c)
III.!a && (b || c)
evaluates to false?

Pls help

Answer 1

I.
a||b = true
c = true
(a || b) && c = true && true = true
!((a || b) && c) = not true = false

II.
!a = false
!a && (b && c) = false && anything = false

III.
!a = false
!a && (b || c) = false && anything = false

So to answer your question, all of the three expressions evaluate to false