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
sattari [20]
3 years ago
12

How many elements does each of these sets have where a and b are distinct elements?

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

a) 8

b) 16

Step-by-step explanation:

a) We note that the first set contains three elements: a, b, and {a,b}.

The power set of {a, b, {a,b}} contains all possible elements of {a, b, {a,b}}.

For each element, we have 2 options: the element is either in the subset or the element is not in the subsets. The number of possible subsets is then equal to product the of the number of options for each element.

                                    P({a,b,{a,b}}) = 2 * 2 * 2 = 2 ^ 3 = 8

b) We note that the second set contains four elements: ?, a, {a} and {{a}}.

The power set of {?, a, {a}, {{a}}} contains all possible elements of {?, a, {a}, {{a}}}.

For each element, we have 2 options: the element is either in the subset or the element is not in the subsets. The number of possible subsets is then equal to product the of the number of options for each element.

                              P({?, a, {a}, {{a}}}) = 2 * 2 * 2 * 2 = 2 ^ 4 = 16

You might be interested in
What's the number between 3 and 6
zzz [600]
4 and 5 are between 3 and 6 
3 0
3 years ago
Read 2 more answers
Roger read 4 more books in July then he did in January how many books did he read in July
ivanzaharov [21]

Answer:

13

Step-by-step explanation:

If he read 9 books in january and read 4 more in july than he did in january then he read 13 books in july.

3 0
3 years ago
George weighs twice as much as his little brother Sam.
german
74 pounds because sam weight 37
37x2 = 74
8 0
3 years ago
Read 2 more answers
Can anyone help with this question?
maxonik [38]
Xia's flowers = may + june
xia's flowers = 5f + 8f
xia's flowers = 13f

the expression for xia's flower is 13f
5 0
3 years ago
Rhode island is the smallest state. It has an area of approximately 1.55*10^3 square miles. Alaska is the largest state. The are
cestrela7 [59]
The total area of Alaska in sq miles is 591,004 sq miles.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Neil works for 3 days a week and earn a salary of$728.56 per week how much does he earn per month
    5·1 answer
  • List some states whose shapes are not polygons
    15·2 answers
  • A picture 10 1/4 feet long is to be centered on a wall that is 14 1/2 feet long. How much more space is there from the edge of t
    11·2 answers
  • F(x)=2x+1<br>if f(x)=4, what is the value of x?​
    10·1 answer
  • Where is this trying to show?
    13·2 answers
  • Solving system with substitution
    14·1 answer
  • Topic - Solving Linear Inequalities.
    14·1 answer
  • B)
    6·1 answer
  • How many cups of red paint would there if there was 1 cup of white paint
    10·1 answer
  • Pls, help The temperature of a city changed by −24 degrees Celsius over a 6-week period. The temperature changed by the same amo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!