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
Write the equation of the line in fully simplified slope-intercept form.
mart [117]

Answer:

y= -3x-6

Step-by-step explanation:

I believe this is correct

6 0
1 year ago
17) Find the surface area of the right triangular prism shown below:<br> 5<br> 2<br> 5/2<br> 3/2
harkovskaia [24]

Answer:

D

Step-by-step explanation:

They didn't provide the number for one of the faces btw..

7 0
2 years ago
The balance after the grace period is $25,000. A payment of $5,000 is made on the 10th day. A payment of $5,000 is made on the 2
MariettaO [177]

The average daily balance after 20 days is; $1750

<h3>Average Balance</h3>

The initial balance after grace period is; $25,000

Afterwards, A payment of $5,000 each is made on the 10th and 20th day.

Hence, the total balance after 20 days is;

  • = $25,000 + $5000 + $5000

  • = $35,000.

The average daily balance is therefore the quotient of $35,000 and 20 days

  • The average daily balance = $35,000/20

  • Average daily balance = $1750

Read more on average;

brainly.com/question/15418098

6 0
2 years ago
Divide and express your answer to lowest term
musickatia [10]

Step-by-step explanation:

3/4:2/5=3/4×5/2=15/8

3/8 ÷ 2/12=3/8 ×12/2=36/16=9/4

8 0
2 years ago
Solve for x<br> 9 - x &lt; 17<br><br> btw the &lt; has the line underneath it!
Radda [10]

Answer:

Step-by-step explanation:

9 - x ≤17

At some point you are going to have to turn the equation around. This would not normally be your first step, but this time it is better to start with it.

We won't do it directly. The best way to do it is to add x to both sides before you do anything else. This is not the usual way to solve these equations, but it's a good time to learn.

Inequality Rule: you must always solve for x. If it is -x then you are going to have to make an adjustment to get the x to be positive.

9 - x ≤ 17                        Add x to both sides

9 - x+x ≤ 17 + x              Combine

9 ≤ 17 + x                      Subtract 17 from both sides.

9 - 17 ≤ 17 - 17 + x

8 ≤ x

Notice that you have effectively changed the ≤ sign around, not because you have, but because the x reads differently now. It started out 9 - x ≤ 17 and when you finish solving it you get 8 is less than or equal to x. Entirely different.

7 0
3 years ago
Other questions:
  • The moon is about 240,000 miles from earth what is the distance written as a whole number multiplied by the power of 10
    15·2 answers
  • I have to model and solve on a number line -3 times -3
    9·2 answers
  • To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45.
    12·1 answer
  • Consider the system of equations.
    12·2 answers
  • Approximately how many liters are in 18 quarts?
    7·2 answers
  • Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms. Please explain
    14·1 answer
  • What is 8 divided by 96
    15·2 answers
  • Factorise x 2 + 20 x + 100
    14·1 answer
  • Four less than twice a number is fifty
    14·2 answers
  • Simplest form of 3/4+1/12
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!