Let us consider 2 sets A = {1,2,3,4} and B = { 5,6}. 1. What is...
Let us consider 2 sets A = {1,2,3,4} and B = { 5,6}. 1. What is {}? 2. What is |A|? 3. What is A union B? 4. What is A intersection B? 5. What is {{}}? 6. What is |{{}}|? 7. What is A x B? 8. What is BxA? 9. If A has 2^5 elements and B has 2^6 elements, how many elements are there in AxB?
Homework Answers
A = {1,2,3,4} and B = { 5,6}.
============================================================================================
1. What is {}?
Ans: it is an empty set.
============================================================================================
2. What is |A|?
Ans: | | it is used to tell about count of element in a set.
|A| = 4
============================================================================================
3. What is A union B?
A U B ={1,2,3,4,5,6}
============================================================================================
4. What is A intersection B?
There is no common element between A and B.
A 
∩ B
= {}
============================================================================================
5. What is {{}}?
Ans: This notaion is used for set of set. Here it is an set of empty set.
============================================================================================
6. What is |{{}}|?
Ans: size of |{{}}| is 1 because main set contain one empty set.
============================================================================================
7. What is A x B?
Ans: { (1,5) , (1,6) ,(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)}
============================================================================================
8. What is BxA?
Ans: {(5,1),(5,2),(5,3),(5,4),(6,1),(6,2),(6,3),(6,4)}
============================================================================================
9. If A has 2^5 elements and B has 2^6 elements, how many elements are there in AxB?
Ans : A has 32 elements and B has 64 elements.
Then AxB has 32*64 = 2048 elements.
============================================================================================
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