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
sergejj [24]
3 years ago
12

Determine the number of subsets and list down all of them.

Mathematics
2 answers:
Setler [38]3 years ago
7 0

We have to use Powerset .All of the elements are subsets of the set.

  • If n(A)=n

\boxed{\sf P(A)=2^n}

#1

  • {a,b,c}
  • It has 2^3=8subsets

Now

P(A)={{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c}}

#2

  • {2,4,6,8}
  • It has 2^4=16 subsets

Now

P(A)={{2},{4},{6},{8},{2,4},{2,8},{2,8},{4,8},{4,6},{6,8},{2,4,6},{2,4,8},{2,6,8},{4,6,8},{2,4,6,8}}

#3

It has 2^5=32 subsets

Now

P(A)={{1},{2},{3},{4},{5},{1,2},{1,3},{1,4},{1,5},{2,3},{2,4},{2,5},{3,4},{3,5},{4,5},{1,2,3},{1,2,4},{1,2,5}...{1,2,3,4,5}}

Sauron [17]3 years ago
5 0
<h2>✏️ <u>SUBSETS </u></h2>

\purple{\underline {\bold{\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }}}

\bold \purple{PROBLEM:}

  • Determine the number of subsets and list down all of them.

  • » 1. { a,b,c }
  • » 2.{ 2,4,6,8 }
  • » 3.{ 1,2,3,4,5,}
  • » 4.{d,e,f,g,h,i}

\bold \purple{FORMULA:}

\underline{ \boxed{ \green{ \rm{ \wp =  2^{n}}}}}

\bold \purple{ANSWER:}

» \rm \: {1.) \:  { a,b,c }}

  • \rm{ \wp =  2^{3} =   \green{\boxed{8}}}

  • {},{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c}

» \rm \: {2.)\:  { 2,4,6,8 }}

  • \rm{ \wp =  2^{4} =   \green{\boxed{16}}}

  • {},{2},{4},{6},{8},{2,4},{2,8},{2,8},{4,8},{4,6},{6,8},{2,4,6},{2,4,8},{2,6,8},{4,6,8},{2,4,6,8}

» \rm \: {3. )\:  { 1,2,3,4,5  }}

  • \rm{ \wp =  2^{5} =   \green{\boxed{32}}}

  • {1},{2},{3},{4,}{5},{1,2},{1,3},{1,4},{1,5},{1,2,3},{1,2,4},{1,2,5},{1,3,4},{1,3,5},{1,4,5},{1,2,3,4},{1,2,3,5},{1,2,4,5},{1,3,4,5},{1,2,3,4,5},{2,3},{2,4},{2,5},{2,3,4},{2,3,5},{2,4,5},{2,3,4,5},{3,4}{3,5}{3,4,5}{4,5},{1,2,3,4,5}.

» \rm \: {4. )\:  { d,e,f,g,h,i }}

  • \rm{ \wp =  2^{6} =   \green{\boxed{64}}}

  • {d},{e},{f},{g},{h},{i},{d,e},{d,f},{d,g},{d,h},{d,i},{ e,f },{ e,g },{ e,h },{ e,i },{ f,g },{f,h },{ f,i },{ g,h},{ g,i },{ h,i },{ d,e,f },{ d,e,g },{d,e,h },{ d,e,i },{ d,f,g },{ d,f,h },{ d,f,i },{d,g,h },{ d,g,i },{ d,h,i },{ e,f,g },{ e,f,h },{e,f,i },{e,g,h },{ e,g,i },{ e,h,i },{ f,g,h },{ f,g,i },{g,h,i },{d,e,f,g },{d,e,f,h},{ d,e,f,i },{ d,f,g,h },{d,f,g,i},{d,g,h,i},{e,f,g,h},{e,f,g,i},{f,g,h,i},{d,e,f,g,h},{d,e,f,g,i},{e,f,g,h,i},{d,e,f,g,h,i}.

\purple{\underline {\bold{\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }}}

\(^.^\)

You might be interested in
Which fraction is equivalent to -(3/4)?
Alekssandra [29.7K]

Answer:

I dont understand the context of the question but something eqqual to that would be -6/8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many solutions exist for the given equation?<br> 12x + 1 = 3(4x + 1) - 2
VladimirAG [237]

Answer:

Infinite

Step-by-step explanation:

3(4x + 1) - 2

= 12x + 3 - 2 (Multiply the sum in the bracket by 3)

= 12x + 1 (Simplify)

This means that:

12x + 1 = 3(4x + 1) - 2

is the same as

12x + 1 = 12x + 1

Hence, anything that is used to substitute x is correct.

4 0
3 years ago
-|7(-5)+7(-8)|-|-6(-7)|
sweet-ann [11.9K]

Answer:

543d3fff4r3

Step-by-step explanation:

4fr34

6 0
3 years ago
(05.01) Which statement best describes the area of the triangle shown below?​
alukav5142 [94]

Answer:

A

Step-by-step explanation:

Area of a triangle:

A=\frac{b*h}{2}

In our case:

b=4

h=2

Plug in what we know:

A=\frac{(4)(2)}{2} \\A=4units

Find the matching solution:

A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units

X B.) it is twice the area of a rectangle of length 4 units and width two units

X C.) it is 1/2 the area of a square of side length 4 units

X D.) it is twice the area of a square of side length 4 units

6 0
2 years ago
Jada is designing two new paths leading from park entrances to a fountain near the center of the park.
Dmitry_Shevchenko [17]
Is there a question?
7 0
3 years ago
Other questions:
  • Consider the inequality -5(x+7) &lt; -10. write an inequality representing the solution for x
    7·1 answer
  • How do you find a perimeter of a triangle on a graph
    6·1 answer
  • Given the information below, QRS is UVT similar to ? If so, give the scale factor.
    12·1 answer
  • Melanie spent four hours babysitting. She charges $16 upfront and then an additional charge per hour. The total amount she earne
    10·1 answer
  • A class is made up of 8 boys and 6 girls. Half of the girls wear glasses. A student is selected at random from the class. What i
    12·1 answer
  • A customer purchased 3 pairs of jeans (j) for $94.50. If each pair of
    7·1 answer
  • PLEASE HELP MY SIS IS BREAKING DOWN CRYING
    10·1 answer
  • A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of sho
    5·2 answers
  • X + y = 8 <br> how do i solve for x
    6·1 answer
  • use coordinate notation to write the rule that maps each preimage to its image. The identify the transformation and confirm that
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!