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Find the least number of ways of choosing three different numbers from 1 to 10 so that all
choices have the same sum?
1. List all elements in A. A={xΟ΅N:(3x2-x)<55}
Solve the following set of recurrence relations and initial conditions an = 4anβ1 + n 2 β n , n β₯ 1; a0 = 1?
((π β π) β§ (π β π)) β (π β π)
Let the proposition p be T and proposition q be F. Find the truth value of the following
a. p^βΊq
A pair of dice is loaded. The probability that a 4 appears on the first die is 2/7, and the
probability that a 3 appears on the second die is 2/7. Other outcomes for each die appear
with probability 1/7. What is the probability of 7 appearing as the sum of the numbers
when the two dice are rolled?
6. Translate in two ways each of these statements into logical expressions using predicates,
quantifiers, and logical connectives. First, let the domain consists of the students in your
class and second, let it consists of all people.
a) Someone in your class can speak Hindi.
b) Everyone in your class is friendly.
c) There is a person in your class who was not born in California.
d) A student in your class has been in a movie.
e) No student in your class has taken a course in logic programming.
How many edges are there in a graph with 15 vertices each with degree 8?
draw the hasse diagram for the set S=[0,10,20,30,40]
It is impossible for a valid argument to have true premises and
#333702 on Dec 2022