1. Write down the power set of the { p,q,r,s}
Answers
Answer:
Before answering the question let me explain what a Power set is.
Power is a set containing all the subsets of the given set.
We have a formula to calculate the number of subsets a set can have which depends on the number of elements it has.
It is 2^n , where n is the number of non repeated elements in the given set.
Now coming to the power set, as your question has 4 elements the number of subsets is 2^4 =16. So you will have 16 subsets and the set containing these 16 subsets is called as power set.
therefore the sets are
{ } this set is null or void set .It contains no element .A null set is a subset to each and every set
{p},{q},{r},{s},{p,q},{p,r},{p,s},{q,r}{q,s},{r,s},{p,q,r},{q,r,s},{r,s,p},{s,p,q},{p,q,r,s}.
The set containing all these sets including the null set is called power set of your given elements.
Answer:
16 sets
Step-by-step explanation:
16 sets is answer