  Question

Write down the power set of the following D={q,p,q,r,s}

Solution

Dear student, In your question there is small mistake.you wrote q twice . Let the elements are pqrs Then 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. Hope you got the idea. thank you Mathematics

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