Suppose that S is a set with n elements. How many ordered pairs (A, B) are there

Question:

Suppose that S is a set with n elements. How many ordered pairs (A, B) are there such that A and B are subsets of S with A ⊆ B?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 03, 2016 01:43 AM

See More Questions

Suppose that S is a set of vectors from Cm. Prove that the zero vector, 0, is an element of (S).
(a) Show that, for any positive integer n,
Suppose that S is a smooth surface. a) Show that there exist smooth parametrizations (j, Ej) of portions of S such that S = UNj=1 j(Ej). b) Show that there exist nonoverlapping surfaces Sj with...
Factor completely. p(p + 2) + p(p + 2) - 6(p + 2)
Calgary Paper Company produces paper for photocopiers. The company has developed standard overhead rates based on a monthly capacity of 180,000 direct-labor hours as follows: Standard costs per unit...
Personal Electronix sells iPads and iPods. The business is divided into two divisions along product lines. CVP income statements for a recent quarter's activity are presented below. Instructions (a)...
With reference to Exercise 10.57, find a large sample 95% confidence interval for the true difference of the probabilities of failure. Data From Exercise 10.57 10.57 Two bonding agents, A and B, are...
Menendez Company is a merchandiser that sells three products: Salsa, Tortillas, and Queso. The following are the actual and expected (standard) data for the three products: Required: 1. Compute the...
Renue Spa had the following balances as of December 31, Year 1: Accounts receivable was $87,000, allowance for doubtful accounts was $2,900 and total retained earnings at the end of Year 1 was...
The founder of Frenza asks us to assist her in accounting and analysis of the corporations bonds, which have an annual contract rate of 8%. She wants to know the business and accounting implications...
How many ways are there to choose a dozen donuts from 20 varieties a) If there are no two donuts of the same variety? b) If all donuts are of the same variety? c) If there are no restrictions? d) If...
Let n and r be integers with 1 r < n. Show that C(n, r 1) = C(n + 2, r + 1) 2C(n + 1, r + 1) + C(n, r + 1).
Explain why retro brands are a unique advertising strategy.
Suppose we have a system with transfer function having two zeros at $z=0$, double poles at $z=a$, and a single pole at $z=-b$, where $a>1$ and \(0
True or False: Present worth analysis is the most popular $D C F$ measure of economic worth.
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 185 girls in 400 births an unusually low number of girls?
Find one solution for each of the difference equations below: (a) $y(n)+2 y(n-1)+y(n-2)=0, y(0)=1$ and $y(1)=0$ (b) $y(n)+y(n-1)+2 y(n-2)=0, y(-1)=1$ and $y(0)=1$.
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 232 girls in 400 births an unusually high number of girls?
Using top-down parsing, find the leftmost derivation in the grammar PLUS-TIMES for the following expressions: (i) i + i + i (ii) i * i + i * i (iii) i * (i + i) * i (iv) ((i) * (i + i)) + i (v)...
Copy and complete the statement. 3800 m ? km =
The kings coinmaster boxes his coins 500 to a box and puts 1 counterfeit coin in each box. The king is suspicious, but, instead of testing all the coins in 1 box, he tests 1 coin chosen at random out...
In one of the first studies of the Poisson distribution, von Bortkiewicz7 considered the frequency of deaths from kicks in the Prussian army corps. From the study of 14 corps over a 20-year period,...
A manufactured lot of brass turnbuckles has S items of which D are defective. A sample of s items is drawn without replacement. Let X be a random variable that gives the number of defective items in...
You are a supervisor at your company. You've overheard Employee A making offensive comments to other employees, and Employee B has complained about these comments. You've given Employee A a verbal...
What is the probability of developing and dying from cancer today?
On January 1, 2024, Majestic Mantles leased a lathe from Equipment Leasing under a finance lease. Lease payments are made annually. Title does not transfer to the lessee and there is no purchase...

Suppose that S is a set with n elements. How many ordered pairs (A, B) are there

Question:

Step by Step Answer:

Following the hint we see that each element of S falls int...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions