1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shepuryov [24]
2 years ago
13

7. Let A = {0, 1, {0,1}}. Give an example of a partition S of the power set P(A) such that SI = 3.

Mathematics
1 answer:
Natalka [10]2 years ago
5 0

Answer:

S=\Bigg\{~~\bigg\{\emptyset\bigg\},~~\bigg\{ \{0\},\{1\},\{\{0,1\}\} \bigg\},~~\bigg\{ \{0,1\},\{0,\{0,1\}\},\{1,\{0,1\}\},\{0,1,\{0,1\}\} \bigg\}~~ \Bigg\}

Step-by-step explanation:

The power set P(A) is the set made of ALL subsets of A. In this case it will be a set of 8 elements:

\mathcal{P}(A)=\Bigg\{~ \emptyset,~ \bigg\{0\bigg\},~ \bigg\{1\bigg\},~ \bigg\{\{0,1\}\bigg\},~ \bigg\{0,1\bigg\}, ~\bigg\{0,\{0,1\}\bigg\},~ \bigg\{1,\{0,1\}\bigg\}, ~\bigg\{0,1,\{0,1\}\bigg\}~ \Bigg\}

(Notice A has 3 elements on it, and P(A) is made of all subsets of it, we first listed those subsets of A with 0 elements (the empty set only), then we listed those with 1 element, then those with 2 elements, and finally those with 3 elements (which is the set A itself) )

A partition of P(A) is distributing all the elements of P(A) into nonempty disjoint sets. Think of it as simply distributing the elements of P(A) into different groups. In our case we want the partition to have 3 elements, so we want to distribute the 8 elements of P(A) into 3 groups. On the first group we just put the empty set, on the second group we put the elements of P(A) made of 1 single element, and on the third group we put the remaining 4 elements of P(A).

You might be interested in
The diameter of a basketball is approximately 24 cm. Find the volume to the nearest
erica [24]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Help me guy it is hard
Galina-37 [17]
The answer is B, you will need at least 6 spring roll wrapper packages.

 The way you get the answer is by turning the word problem into an expression. You can make this into the fraction (17*6+15*3)/(25). 17 is the number of adults and you multiply this by how many spring rolls Jill wants to give each adult, which is 6, you can do the same for the children. Next the denominator is 25 which represents the amount of spring roll wrappers per each package. When you simplify the answer comes around to 5.88, but since you cant buy 88% of a spring role wrap package you have to buy another whole one, which makes the answer six.
5 0
2 years ago
Which of the following values of x are solutions to the equation 4x^2+x-60=0​
Vladimir79 [104]

Answer:

x = 15/4, - 4

Step-by-step explanation:

I'm not sure :p

5 0
2 years ago
Write 5 as a fraction with 5 in the denominator
Ivenika [448]
25/5 is a THE fraction
8 0
3 years ago
Name Score Julia 650 Andrew 550 Jason 380 Cathy 720 Jessica 710 Robert 550 The table gives the scores of 6 students from a class
Afina-wow [57]
3560/6 which is 593.3 I believe.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex.
    13·1 answer
  • Which number has the same value as 30 tens
    5·2 answers
  • How do I type in exponents
    14·1 answer
  • The distance from Los Angeles to Portland Oregon is 959 miles one way. If a pilot flies that round trip 15 times a year, how man
    10·2 answers
  • The sales team at an electronics store sold 48 computers last month. The manager at the store wants to encourage the sales team
    11·1 answer
  • PLEASE HELP NEED DONE FAST!!!
    11·1 answer
  • Laura's piano teacher estimated that her monthly piano practice should take her 4 3/4 hours per week. Laura said that last week
    8·2 answers
  • Picture
    13·2 answers
  • What is an equation of the line that passes through the points (8, 2)(8,2) and (-4, 5)(−4,5)?
    6·1 answer
  • Charlie received -33
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!