Consider the functions: 1. e^(-x) 2. x^2 - sin x 3. sqrt(x^3 + 1) Which of the above functions is/are increasing everywhere in [0…
Let R be the set of all binary relations on the set {1, 2, 3}. Suppose a relation is chosen from R at random. The probability that…
Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other than G itself is _______
Which one of the following predicate formulae is NOT logically valid? (Note: W is a predicate formula without any free occurrence …
The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L's are in…
For n >= 2, let a ∈ {0, 1}^n be a non-zero vector. Suppose that x is chosen uniformly at random from {0, 1}^n. Then, the probabili…
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