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]
2 years ago
12

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

Mathematics
1 answer:
harina [27]2 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
A bag contains 4 white, 3 black, and 6 green balls. Balls are picked at random. Explain why the events picking a white ball and
Fofino [41]

Answer: D


Step-by-step explanation:

D is the correct answer because first of all, there are 13 balls total. So the denominator would have to be 13. Also, white is the second largest number of balls in the set, so it is pretty likely that you will pick it. Although the most common picked would be green since it has the most balls.

4 0
3 years ago
Read 2 more answers
Find the interest earned.
MakcuM [25]
September
30-10=20 days
October 31
November 10
Time=20+31+10=61 days
A=42,000×(1+0.035÷365)^(61)
A=42,246.38
Interest earned
I=42,246.38−42,000
I=246.38
5 0
3 years ago
Use the box method to distribute and simplify (-5x-2)(-2x^2+6x).
Mkey [24]

Answer:

10x^{3} - 26x^{2} - 12x

Step-by-step explanation:

1)  Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

10x^{3} - 30x^{2} + 4x^{2} -12x

2)  Collect like terms.

10x^{3} + (-30x^{2} +4x^{2} )-12x

3) Simplify.

10x^{3} - 26x^{2} -12x

Therefor, the answer is, 10x^3 - 26x^2 - 12x.

3 0
2 years ago
Hi I need helppppppppppppppppppp
tatiyna
3738383792639263846736283
5 0
2 years ago
Read 2 more answers
jOHN HAS 50 DOLLARS IN HIS WALLET, sUZANNAH HAS 30 DOLLARS WHAT PERCENTAGE OF JOUN'S MONEY DOES SUZANNAH HAVE?
ira [324]

Answer:

60%

Step-by-step explanation:


4 0
2 years ago
Other questions:
  • A rectanglar swimming pool is three times as long as it is wide. If the perimeter of the soccer feild is 300 yards, what are the
    15·1 answer
  • Three times a number plus five is less than three fourths of the number
    14·2 answers
  • [(a/b)+1] / (c/b)
    14·1 answer
  • It number 6. And i need help
    11·1 answer
  • How many square inches are in 60 square feet?
    8·2 answers
  • Una escalera de 6 pies esta apoyada a
    6·1 answer
  • Solve the equation by completing the square: z^2 - 2z = 323
    13·1 answer
  • And art museum had 275,760 visitors last year. The museum is open every day every year except for five holidays.how many visitor
    6·2 answers
  • How do you divide on a calculator?
    13·2 answers
  • Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviati
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!