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

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?

Step by Step Solution

★★★★★

3.45 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

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

Document Format (1 attachment)

Word file Icon

923-M-C-M-S (2046).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Suppose that S is a set of vectors from Cm. Prove that the zero vector, 0, is an element of (S).

Q:

(a) Show that, for any positive integer n,

Q:

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...

Q:

1. Let n 2 3 be an integer and let S be a set consisting of n elements. How many ordered triples (A, B, C) are there for which A C S, B CS, CCS, and A, B, and C are pairwise disjoint? (a) 2 (b) 3 (c)...

Q:

1. Let n 2 3 be an integer and let S be a set consisting of n elements. How many ordered triples (A, B, C) are there for which AC S, BSS,CS S, and A, B, and C are pairwise disjoint? a) 2n (b) 3 (c)...

Q:

Solve the following problems and show your work: (f) Suppose A is a finite set with n elements. How many relations Ull (4. (a) Let A = (a, b, c] and R = [(a, b), (b, b), (b, c), (a, c). (b, a) ). Is...

Q:

\fMath 510 - HW 2 Due: September 7, 5 PM Problem 1: Let n be a positive integer. How many ordered pairs (A, B) are there such that (i) A and B are both subsets of {1, . . . , n}; (ii) A and B do not...

Q:

\fMath 510 - HW 2 Due: September 7, 5 PM Problem 1: Let n be a positive integer. How many ordered pairs (A, B) are there such that (i) A and B are both subsets of {1, . . . , n}; (ii) A and B do not...

Q:

Math 510 - HW 2 Due: September 7, 5 PM Problem 1: Let n be a positive integer. How many ordered pairs (A, B) are there such that (i) A and B are both subsets of {1, . . . , n}; (ii) A and B do not...

Q:

U ref use text name. for book search on google Show written solutions for all of the following problems. Unit 5: Counting Theory Text: A Spiral Workbook for Discrete Mathematics. 8.2: Addition and...

Q:

Interest in unmanned underwater vehicles (UUVs) has been increasing recently, with a large number of possible applications being considered. These include intelligence-gathering, mine detection, and...

Q:

Read Case Study IV-1 entitled The Clarion School for Boys, Inc.Milwaukee Division: Making Information Systems Investments. The case study provides an example of the practical difficulties encountered...

Q:

Do you think that business practices in an Islamic country are likely to differ from business practices in a Christian country? If so, how? If not, why?

Q:

Assuming that soybeans and tobacco can both be grown on the same land, a decrease in the price of tobacco, other things being equal, causes a (an) a. rightward shift of the supply curve for tobacco....

Q:

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...

Q:

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,...

Q:

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...

Q:

Suppose the interest rate is 4 . 3 % . a . Having $ 2 5 0 today is equivalent to having what amount in one year? b . Having $ 2 5 0 in one year is equivalent to having what amount today? c . Which...

Q:

Ollivette is a relatively new firm and is in a period of rapid development. The company plans on retaining all of its earnings for the next four years. Five years from now, the company projects...

Q:

Granville Company issued a $6,300,000 in 8%, 10-year bonds when the market rate of interest is 10%. Interest is paid semiannually. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of...