Question: Let A = {{a, {a}}, a, }, then the power set of A is P(A)=

Let A = {{a, {a}}, a, }, then the power set of 

Let A = {{a, {a}}, a, }, then the power set of A is P(A)=

Step by Step Solution

★★★★★

3.58 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The power set is a set that contains all of the subsets as well as the empty set and the initi... 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:

Design a decrease-by-one algorithm for generating the power set of a set of n elements. (The power set of a set S is the set of all the subsets of S, including the empty set and S itself.)

Q:

Let p N, V be an open set in Rn, x, a V, and f: V R be Cp on V. If L(x; a) V and h = x - a, prove that D (a: h)+ (p - 1), (+ih: b di. f(x)-/(a) =

Q:

Let p and q be distinct primes. Set n = pq and let T, denote the subgroup of the circle group T consisting of the n-th roots of unity. How many primitive nth-roots of unity does T, have? 2kn REMARK:...

Q:

24) A function f : R - R is said to be odd if f(-x) = -f(x) for all x E R. The graph of f (x) is: symmetric about the x-axis. b) symmetric about the y-axis. c) symmetric about the origin. d) None of...

Q:

Prove the second part of Theorem 6: Let w be any solution of Ax = b, and define v h = w - p. Show that v h is a solution of Ax = 0. This shows that every solution of Ax = b has the form w = p + V h ,...

Q:

Let X = {a,b,c} and P(X) be the power set of X. A relation R is defined on P(X) as follows: For all A, BE P(X), ARB = the number of elements in A less than or equal to the number of elements in B....

Q:

Let A = { 1 , 2 } and B is the power set of A . Which of the following statements are true. ( 1 , { } ) EAX B O ( 1 , 1 ) EAX B ( A , 1 ) EBXA OASB Cardinality of A xB is 8 . O AEB

Q:

Let A = { 1 , 2 } and B is the power set of A . Which of the following statements are true. ( 1 , { } ) EAX B O ( 1 , 1 ) EAX B ( A , 1 ) EBXA OASB Cardinality of A xB is 8 . O AEB

Q:

Let A = { 1 , 2 } and B is the power set of A . Which of the following statements are true. ( 1 , { } ) EAX B O ( 1 , 1 ) EAX B ( A , 1 ) EBXA OASB Cardinality of A xB is 8 . O AEB

Q:

For any set A, finite or infinite, let B A be the set of all functions mapping A into the set B = {0, 1 }. Show that the cardinality of B A is the same as the cardinality of the set P(A). Then try to...

Q:

Write a letter to your local Chamber of commerce and request information about special events sponsored by the commmunity. Then identify the parts of this letter.

Q:

Please do a to c a) Figure 3.1 shows the light intensity on a screen behind a single slit. The slit width is 0.20 mm and the screen is 1.5 m behind the slit. What is the wavelength (in nm) of the...

Q:

On Nov 8 th , the 4 % , 3 0 - year U . S T - bond has quoted ( asked ) price 1 0 2 . 1 2 5 0 , it paid interest 6 2 days ago . What s the actual sale price? ( The bond pays interest every 1 8 2 days....

Q:

Thoroughly respond to the prompts below. Enter your responses on a new line. 1. Analyze the project risk: What could cause the problem to occur? How can each problem be prevented? If the problem...

Q:

4. From the conservation of momentum equation below, write out the 2 scalar equilibrium equations for a 2-dimensional isotropic elasticity problem. ft pf = (2+) Fix +N+fXx + pl. fu fx, fx, fx, fx,...

Q:

Draw a circle representing one platter surface of a hard disk. On your drawing show an example of a track, of a sector, and of a block. 10.5 Draw a sector representing one platter surface of a hard...

Q:

Income and Cash Flow Analysis The Berndt Corporation expects to have sales of $13 million. Costs other than depreciation are expected to be 80% of sales, and depreciation is expected to be $1.3...

Q:

The roof of a refrigerated truck compartment is of composite construction, consisting of a layer of foamed urethane insulation (t2 = 50 mm, ki = 0.026 W/m K sandwiched between aluminum alloy panels...

Q:

Find the domain and range of these functions. Note that in each case, to find the domain, determine the set of elements assigned values by the function. a) The function that assigns to each bit...

Q:

Suppose that an element is known to be among the first four elements in a list of 32 elements. Would a linear search or a binary search locate this element more rapidly?

Q:

In which order are the vertices of the ordered rooted tree in Exercise 7 visited using a postorder traversal? 8 CT

Q:

Frank (1978) reports on the following experiment to estimate the number of minnows in a tank. The first two samples used a minnow trap to catch fish, while the third used a net to catch the fish....

Q:

In the experiment in Exercise 8, what does it mean in terms of fish behavior if there is an interaction between presence in sample 1 and presence in sample 2? Between presence in sample 1 and...

Q:

Consider the dual frame survey in Figure 14.1(b) in which independent probability samples are taken from frames A and B. Suppose that all three domains are nonempty. Let SA denote the sample from...