Stark

The digraph of a relation R defined on the set A={1,2,3,4} is shown below. Verify that (A,R) is a poset and construct the corresponding Hasse diagram. Answer:-

Prove that in every graph the number of vertices of odd degree is even. Answer:-

Draw the Hasse diagram representing the positive divisors of 36 Answer:-

Let A={1,2,3,4,6} and R be a relation on A defined by aRb if and only if ” a is a multiple of b”. Write down the relation R, relation matrix M(R) and draw its digraph Answer:-

Let f and g be functions from R to R defined by 𝑓(𝑥) = 𝑎𝑥 + 𝑏 𝑎𝑛𝑑 𝑔(𝑥) = 1 − 𝑥 + 𝑥2 , If (𝑔 ∘ 𝑓)(𝑥) = 9𝑥2 − 9𝑥 + 3 determine a and b. Answer:-

Prove the following using the laws of logic [¬p^(¬q ^ r)] v [(q^r) v (p ^ r] ⇔ r Answer:-

Define tautology. Show that {(pVq)^(p→r)^(q→r)} → r is a tautology by constructing the truth table Answer:-

Mathematical Foundations for Computing, Probability & Statistics Computer Science & Allied Engg. branches-21MATCS41 Set-2 Solved Model Question Paper Module 1 1.A] Define tautology. Show that {(pVq)^(p→r)^(q→r)} → r is a tautology by constructing the truth table. 1.B] Prove the following…

Mathematical Foundations for Computing, Probability & Statistics Computer Science & Allied Engg. branches-21MATCS41 Set-1 Solved Model Question Paper Module 1 1.A] Define tautology. Determine whether the following compound statement is a tautology or not. {(pVq)→r} ⇔ {¬r → ¬(pVq)} 1.B]…