Question: Let X, Y, Z and W be finite sets. Using RULE C2, the basic laws to derive the formula for: |X Y Z

Let X, Y, Z and W be finite sets. Using RULE C2, the basic laws to derive the formula for:
|X ∪ Y ∪ Z ∪ W|

Step by Step Solution

★★★★★

3.43 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find the cardinality of the union of four sets X Y Z and W using the InclusionExclusion Principle ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Expand across the first row to derive the formula for the determinant of a 2 2 matrix.

Q:

Expand across the first row to derive the formula for the determinant of a 3 3 matrix.

Q:

Let X and Y be nonempty sets and let h : X Y R have bounded range in R. Let f : X R and g : Y R be defined by F(x) := sup{h(x; y) : y Y}; g(y) := inf{h(x; y) : x X}: Prove that Sup{g(y) : y Y}...

Q:

For Questions 1 and 2, we will make use of the following sets and functions: Let X, Y, Z, and W be sets such that X nY = 0 and Z nW = 0, let f : X - W, and let g : Y - Z. Define h : XUY - WUZ by h(a)...

Q:

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

Q:

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

Q:

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Q:

The questions below are taken from texts other than your textbooks. Some are easy, some are more difficult, but in any case, trying to solve them is an excellent practice. There are quite a few...

Q:

In this project we will model the connections between some fictional cities. The data is available on graph.txt (at the end) Our weighted graph will represent this by edge-weights equal to a...

Q:

1. Using the following definition to draw a state diagram. (Show your work.) (30 points) A finite automaton A,-(Q, , , qo, F} where Q = {go, qi, q2, q3, q4), = {a, b, c), is described as qil goo q qe...

Q:

Write a query to get the number of employees with the same job

Q:

A recent Sheridan College graduate, inspired by what she learnt in the Operations Management and Process Modeling classes, has decided to set up a pizza shop in her garage kitchen. She is currently...

Q:

The IRS provides advice concerning an issue that arises during an audit by issuing

Q:

(a) Only a limited number of maxima can be observed with a diffraction grating. The factor(s) that limit(s) the number of maxima seen is (are) (a) (1) the wave-length, (2) the grating spacing, (3)...

Q:

A one-dimensional impulse force acts on a 3.0-kg object as diagrammed in Fig. 6.32. Find (a) The magnitude of the impulse given to the object, (b) The magnitude of the average force, and (c) The...

Q:

A nurse needs to draw 20.0 cc of blood from a patient and deposit it into a small plastic container whose interior is at atmospheric pressure. He inserts the needle end of a long tube into a vein...

Q:

A newly discovered asteroid is being tracked by astronomers for possible crossing points with Earths orbit. They have determined that its elliptical orbit brings it as close as 16.0 million km to the...

Q:

A new crowd control method utilizes rubber bullets instead of real ones. Suppose that, in a test, one of these bullets with a mass of 500 g is traveling at to the right. It hits a stationary target...

Q:

paraphrase this text Relative Poverty and Absolute Poverty are two concepts used to describe the economic condition of individuals or groups, often regarding their access to resources and a minimum...

Q:

4. Let C be a path in R from the point (1, 0, 2) to the point (-2, 1, 0), and let f(x, y, z) = xz + 3y. Use the fundamental theorem of conservative vector fields to evaluate Vf(x, y, z) . di. 5. Let...

Q:

ompute the following integrals:(a) Let D :={(x, y) : x 0, x2+ y216}. FindDx dA .(b) Let D :={(x, y) : y 0,1 x2+ y29}. FindD1x2+ y2 dA .(c) Let :={(x, y, z) : x 0, y 0, and x2+ y2+ z264}. Findy dV...

Q:

2.27 X and Z are two jointly distributed random variables. Suppose you know the value of Z, but not the value of X. Let X = E(X Z) denote a guess of the value of X using the information on Z, and...

Q:

Let Z ¼ N(0, 1), and let X = Ï Z + μ where μ and Ï > 0 are constants. Let represent the cumulative distribution function of Z, and let Ï represent...

Q:

Problem 2. Let X, Y, Z and suppose f: X Y and g : Y Z are functions. Consider the composition h = gof: X Z defined by h(r) = 9(f(x)). (a) Prove that if both f : X Y and g : Y Z are injective...

Q:

Question 7. (5 points) Let X, Y, Z be three strings of respective lengths r, y, z where z y z. Let 1(X, Y) denote the length of the longest prefix common to both X and Y. For example,f X = instagram...