Formula’s picture: https://docs.google.com/document/d/1-HLGVAuzHGAlB6J7yRZMByX9CWSuCgh294WPxk5COpw

Formula’s picture: https://docs.google.com/document/d/1-HLGVAuzHGAlB6J7yRZMByX9CWSuCgh294WPxk5COpw

Let U be a finite universal set, and let A, B be a subset of U. Show that n(A ∩ B) = n(U) - n(A^c) - n(B^c) + n(A^c ∩ B^c)

I am new to this whole Big-O notation. But from what I know, we have in increasing order of growth O(1), O(log(n)), O(n), O(nlogn), O(n^2), O(2^n), O(n!). Using this order of growth, it would...

~ mean not ^ mean and ∨ mean or Help me pls

Can anyone help me solving this problem, Im really really lost. Thank you

How to do this, please help me. Thank you very much!

I didnt understand Let say X = 2a +1 while y = 2b+1 Why you need to multiply xy rather x+y, as you can see below: XY = (2a+1)(2y+1) <- correct X+Y...

Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is...

Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is...

Are the above sets equal?Explain why? EXPLain why as well if they are not equal.

Negation.

There is a line of people from left to right. Person 1 is named Jack. If Person x is named Jack, then Person x+2 is named Jack, for all x ≥ 1. If Person x is named Jack, then Person x+3...

Deﬁne f(x) : P({a,b,c}) →N as follows: for all A ∈P({a,b,c}), f(A) = the number of elements in A. ( P is a power set.) Is f one-to-one? Prove or give a counterexample. Is f onto? Prove...

What is the slope-intercept form of the equation of the line through the given points.

Our Indiscrete Mathematics course has: 18 students from the the College of Arts, 12 of whom are female; 27 students from the the College of Engineering and Informatics, 10 of whom are female; 30...

The one-to-one functions g and h are defined as follows. g= {(-6,-3), (0,9), (3,0), (6,4), (7,1)} h(x)= 3x +10 Find the following. g^-1 (0) = ____ h^-1(x)...

3. Use the set {0,1,2, 3} to create three digits numbers, determine the number for which: (1) Even (How many even numbers are there?) (2) Less than 300 (3) Greater than...

discrete mathematic

1. Define the following predicates: [6] R(x) : “x is a right angle triangle.” O(x) : “x has an obtuse angle.” Now consider the following statments: S = ¬∃x(R(x) ∧ O(x)) T...

A multiple choice test consists of four questions, each of which has five choices. Each question has exactly one correct answer. William guesses randomly at each answer. What is the probability...

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