SOLUTION: Consider the set S={a,b,c}. Write down the power set, P(S) of S

Algebra.Com
Question 1122483: Consider the set S={a,b,c}. Write down the power set, P(S) of S
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Wikipedia says ( https://en.wikipedia.org/wiki/Power_set ) : 

    In mathematics, the power set (or powerset) of any set S is the set of all subsets of S, including the empty set and S itself.

Therefore, 

    P(S) = { {empty_set}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }.

Answered and solved.





RELATED QUESTIONS

write the function as a set of ordered pairs. Give the domain and range for each. f(a)=s (answered by lynnlo)
Given: Set U = {S,O,P,H,I,A} Set B = {S,I,O} What is the complement of set B? Please... (answered by ikleyn)
I want to make sure I did this question correct, but do not know how to upload a picture... (answered by jim_thompson5910)
Question 1 please help me with this question. If the universal set U=... (answered by MathLover1)
Let S be the universal set, where: S = {1,2,3,...,18,19,20} Let sets A and B be subsets (answered by tommyt3rd)
Let S be the universal set, where: S={1,2,3,...,18,19,20} Let sets A and B be subsets... (answered by ikleyn)
Consider a set, S, whose cardinality is greater than the cardinality of the real numbers. (answered by swincher4391)
Consider Functions: Consider a square with side of length s, diagonal of length d,... (answered by oscargut)
Given: Set U is {s,o,p,h,I,a}. Set B is {a,l,o}. (answered by stanbon)