Discrete Maths Challenge

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A quick set of discrete maths questions.

Pawar Pratibha

India

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Discrete Maths Challenge


Froggy Jumps Discrete Maths ChallengeVersion en ligne A quick set of discrete maths questions. par Pawar Pratibha 1 What is the cardinality of the set {1, 2, 3}? a 3 b 4 c 2 2 In logic, A and B is equivalent to A ∧ B. If A is true and B is false, is A ∧ B true? a No b Only if both true c Yes 3 Which is a valid logical implication A → B when A is true and B is false? a True b False c Both are possible 4 How many edges does a tree with n vertices have? a n b 2n-1 c n-1 5 What is the number of subsets of a set with exactly k elements? (Choose symbol) a C(n, k) b P(n, k) c S(n, k) 6 Which graph is a planar graph with no cycles? (Common name) a Cycle graph b Tree c Complete graph 7 In a boolean algebra, x ∨ ¬x is always equal to what? a 0 b 1 c x 8 What is the number of derangements of 3 objects? a 1 b 2 c 3 9 If a function f: A → A is injective, what can we say about \|A\|? a \|A\| is smaller than domain b \|A\| is at least as large as its domain c Nothing definite 10 Which principle states that if more than n items are placed into n boxes, some box contains at least two items? a Ramsey Theory b Pigeonhole Principle c Inclusion-Exclusion