 Hi and how are you all today? I am Priyanka and let us do the following question together. It says write down all the subset of the following sets. These are the four parts of the question which are given to us in which we need to write down all the subsets. Wait so let us start with our solution. Now here we are given a set having one element. So it is subset of this set R Phi a set having one element only. That means it will be having two subset and since Phi the null set is a subset of every set it will be included whether it has been included in the element of the given set or not. So this becomes the answer of the first part. Proceeding on to the second part we are given the set having two elements. So the subsets of this set R since it is having two elements so there will be four subsets and they will be Phi as it is a subset of every set A B and then taken together A B. So this forms the answer to the second part. Proceeding on further to the third part we are given a set one two three. It is having three elements so how many subset it will have two raised to the power three that will be eight subsets. So the subsets this set R Phi one taken separately two three. That means we will first write all the elements separately. Then we will start grouping them one two then two three then one with three and it lasts all three elements together. So these becomes the eight subsets of the given set. Right? Proceeding on with the last and final part we are given Phi. This given set is a null set having no elements hence the only subset of Phi is Phi only. So this ends the given question. I hope you enjoyed the session and do remember that for counting how many subsets you need to write down beforehand only just write the base as two and the number of elements of the set as its power and you will know that there has to be eight subsets or three subsets or four subsets. Right? So I hope you enjoyed the session. Bye for now.