Essentials Of Discrete Mathematics Edition Answers
1. A function is said to be ______________, if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.
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Correct Ans:One-to-one
Explanation:
A function is one-to-one if and only if f(a)?f(b) whenever a?b.
2. For every relation R on some set, if (t,t) is not in, then R cannot be
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Correct Ans:Transitive
Explanation:
3. Which of the following is not a type of graph ?
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Correct Ans:Path
Explanation:
4. A continuous non - intersecting curve in the plane whose origin and terminus coincide ?
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Correct Ans:Jordan
Explanation:
5. For a given set, relation is defined as (a,b) in R then (b,a) is also in R, then R should be ?
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Correct Ans:Symmetric
Explanation:
6. Two sets have the same size if and only if there is a one - to - one function from one set onto other. This principle is called ?
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Correct Ans:autonomous principle
Explanation:
7. Product of first n natural numbers
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Correct Ans:factorial
Explanation:
8. Interchange of rows and columns in matrix
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Correct Ans:Transpose
Explanation:
9. Simplify : (p v q) ^ (q v 0)
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Correct Ans:q
Explanation:
10. Simplify : (p v q) ^q
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Correct Ans:q
Explanation:
11. For every relation R on some set, if (t,t) is in R, then R is
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Correct Ans:Reflexive
Explanation:
12. An integer will be in the form of n = 2k +1, where k is any natural number
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Correct Ans:n will be an odd number
Explanation:
13. If T is a full binary tree and has 5 internal vertices then the total vertices of T are
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Correct Ans:11
Explanation:
14. How many functions are there from a set with three elements to a set with two element ?
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Correct Ans:8
Explanation:
15. If p = It is raining, and q = She will go to college. How will the statement "It is raining and she will not go to college" be denoted ?
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Correct Ans:p ^ ~q
Explanation:
16. Suppose v is an isolated vertex in a graph, then the degree of v is
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Correct Ans:0
Explanation:
17. Length of the walk of a graph is
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Correct Ans:The number of edges in walk W
Explanation:
18. What is the Cartesian product of A = {1, 2} and B = {a, b}?
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Correct Ans:{(1, a), (2, a), (1, b), (2, b)}
Explanation:
A subset R of the Cartesian product A x B is a relation from the set A to the set B.
19. A partial ordered relation is transitive, reflexive and
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Correct Ans:Antisymmetric
Explanation:
20. The number of leaf nodes in a complete binary tree of depth d is
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Correct Ans:2d
Explanation:
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Essentials Of Discrete Mathematics Edition Answers
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