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Find the transitive closure A={1,2,3,4,5}
R={ (2,3),(3,5),((1,2),(2,5),(1,3),(4,5),(5,2)} by using Warshall’s Algorithm.
Find these terms of the sequence (An}, where An = 2(3)n + 5
a recursive function is defined by can=2an-1 with a0=1. find the value of a3
Show that ¬ (P"\\iff"Q)"\\iff"(P V Q) Λ ¬(P Λ Q) "\\iff"(P Λ ¬Q) V (¬ P Λ Q) without using truth table
contract is 3/5. If the probability of his getting at least one of the contracts is 5/7. What is the
probability of his getting both the contract?
B) Of 150 students, 90 girls and 60 are boys, 60 of the Girls and 30 of the boys read story book daily. A
student is selected at random from the lot. What is the chance that selected would be a Boy or read
story book. .
C) In how many ways can a cricket eleven be chosen out of 15 players? How many of them will
i. Include 3 particular player. ii. Exclude 4 particular player.
whether each of these functions is a bijection from R to R. f (x) = x 3 -1
∃𝑥 (𝑥 + 1 = 0 ∨ 𝑥 + 2 = 0) write the negation of the following
team1 of :ll.1 players is so be chosen from 15 1
members. 11
n how ways rcan this,
be done If
I.. One pairticular player is always incliuded.
Let Q(x) be the statement “x + 1 > 2x.” If the domain consists of all integers, what are these truth values? a) Q(0) b) Q(−1) c) Q(1) d) ∃xQ(x) e) ∀xQ(x) f) ∃x¬Q(x) g) ∀x¬Q(x)
Establish the validity of the argument with the premises p -> (q -> r) , p \/ s , t ->q , ~s and ~r -> ~t
#339914 on Dec 2023