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Use Chinese Remainder Theorem to find the value of x such that x = 0 ( MOD 2) , x = 2 (MOD 3) and x = 3 (MOD 5).
Answered
Discrete Structure
Prove that “If the product of two integers a and b are even then either a is even or b is even”, using the contradiction method.
Answered
Discrete Structure
Asked on 2079 Exam
List any one example of tautology. Represent the following sentences into predicate logic.
Not all employees are loyal
All students having good attitude are lovable.
Answered
Discrete Structure
Show that the relation R = {(a, b): |a – b| is even} is an equivalence relation in the set of integers. Given the following transport network with the edges labeled with their capacities, find all S-D and their capacities and What is the minimum capacity?
Answered
Discrete Structure
Asked on 2079 Exam
A group of 8 scientist is composed of 5 chemist and 3 biologist. In how many ways can a committe of 5 be formed that has 3 chemist and 2 biologist? Using mathematical induction prove that 1
3
+ 2
3
+ 3
3
+ ……………….. + n
3
= n
2
(n + 1)
2
/ 4) for n ≥ 1.
Answered
Discrete Structure
How do you plot the function on graph? Determine whether the function f(x) = x
2
is injective, surjective or bijective with reasons. Solve the recurrence relation a
n
= 6a
n-1
– 9a
n-2
with initial conditions a
0
= 1 and a
1
= 6.
Answered
Discrete Structure
How many cards should be selected from a deck of 52 cards to guarantee
at least three cards of same suit.
at least four cards of same suit.
Answered
Discrete Structure
Explain 8237 DMA controller and interfacing with diagram.
Answered
Microprocessor
Explain, without using a truth table , why (p ∨ q ∨ r) ∧ (¬p ∨ ¬q ∨ ¬r) is true when at least one of p, q, and r is true and at least one is false, but is false when all three variables have the same truth value.
Answered
No Subject
Explain between deadlock detection and avoidance.
Answered
Operating System
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