Question: Let A be a set with |A| = n

Let A be a set with |A| = n <∞. How many distinct subsets does A have?

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Lets assume A a 1 a 2 a 3 a n We can look at this problem ... 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 Introduction To Probability Statistics Questions!

Q:

Let n Z+ with n > 1, and let A be the set of positive integer divisors of n. Define the relation R on A by x R y if x (exactly) divides y. Determine how many ordered pairs are in the relation R when...

Q:

Let (N, w) be a 0-1 normalized TP-coalitional game, and let G be the corresponding two-person zero-sum game described in the previous exercise with value δ. Show that δ...

Q:

Let (N, w) be a 0-1 normalized TP-coalitional game, and let A be the set of all nontrivial coalitions A = {S N : w(S) > 0}. Consider the following two-player zero-sum game. Player 1 chooses a player...

Q:

Fact If all) and b|a, then a = b or a = b. Division Algorithm For any a.b E Z with b > 0. there exist unique q E Z (quotient) and 7' E Z (remainder) such that a : bq + 7' with 0 S 7" 1 is prime if...

Q:

The Domain for this question is integers in the range of zero through forty, inclusive. Let P be the set of the numbers between one and forty, inclusive. Let Q be the set of the even numbers between...

Q:

it M Mona Monash ht ash ght sh U 3. Let n 2 3 be a fixed integer, let Mnn denote the set of all n x n matrices, and define nas at Mon Univ nive 4. S Monas O ish (a) Is the following statement true:...

Q:

Question 2: Let n 2 be an integer. Determine the number of strings consisting of n characters, where each character is an element of the set {a, b, 0}. Let S be a set consisting of n elements....

Q:

13. (8) (Problem 14.55, textbook) (a) Let r be the number of length n binary strings in which 011 occurs starting at the 4th position Write a formula for r in terms of n. (b) Let Ai be the set of...

Q:

Discrete mathematics : 8. Suppose that Rand S are reflexive relations on a set A with |A| = n > 0. State whether following statements are true or false? (1) (points will be given only if all answers...

Q:

Please solve where vi is the eigenvector for the eigenvalue di for each i, and the set {v1, . . . , Un} consists of orthonormal vectors, i.e., (vi, v;) = 0 whenever i f j, and (vi, vi) = 1 for all i....

Q:

Howard runs 'Look out Steve!', which is a business located in Sydney, New South Wales. A number of assets are recorded in its asset register and it also uses the low-value pool. The opening pool...

Q:

A straight cylindrical wire lying along the x axis has a length of 0.500 m and a diameter of 0.200 mm. It is made of a material that obeys Ohms law with a resistivity of o = 4.00 x 10-8 '(m. Assume...

Q:

7. Based only on the knowledge that the premerger market share of two firms proposing to merge was 30 percent each, an economist working for the Justice Department was able to determine that, if...

Q:

According to a recent Current Population Reports, self-employed individuals in the United States work an average of 45 hours per week, with a standard deviation of 15. If this variable is...

Q:

3. Prove statement (10).

Q:

4. Suppose that the following data represent the units of production turned out each day by three different machinists, each working on the same machine for three different days: Machinist Machine A...

Q:

5. Suppose F is a G(,) r.v. Show that e(W, X) = 32(2) 24(1)(21)2{()}4 . (Note that F is not symmetric.)

Q:

I need help- Identify a company with a product that interests you.Consider ways the company could use customer relationship management (CRM) to strengthen relationships with its target...

Q:

https://www.viddler.com/embed/5ca86981 What are the key macroenvironmental trends in Adidas' industry?

Q:

This weeks' discussion board focus' on the difference between target market and target audience and represents 2% of your total course evaluation. Q1: Which segmentation variables are more useful or...