Can you fill in the blanks for me? What is the correct answer? Part 1: Proof that P(A N B) C P(A) N P(B).To prove part 1, select options from the list and put them in the correct order.StatementExplanationSuppose A and B are any sets.1. Let X be any element in P(ANB)by definition of power set2. Then X ANBby definition of subset3. So, Hencе, Xс А and X С Вby definition of intersection v4. Thus, Then X E P(A) and X E P(B)5. ---Select------Select---6. ---Select------Select---7. Therefore, XE ---Select------Select---8. Since X could be any element in ---Select---it follows that every element in--Select---is in---Select--9. Therefore, P(A N B) C P(A) N P(B).

As given in problem: PA∩B⊂ PA∩PB Let: X∈PA∩B Then it is a subset: X⊂A∩B It shows that: X⊂A and X⊂B…

Part 1: Proof that P(A N B) S P(A) N P(B). To prove part 1, select options from the list and put them in the correct order. Statement Explanation Suppose A and B are any sets. 1. Let X be any element in P(ĀN B) by definition of power set 2. Then XC ANB by definition of subset 3. So, Hence, XC A and X c B by definition of intersection ♥ 4. Thus, Then X € P(A) and X e P(B) 5. ---Select--- ---Select--- 6. ---Select--.. ---Select--- 7. Therefore, X e ---Select-- ---Select--- 8. Since X could be any element in ---Select--- ---Select--- v it follows that every element in --Select--- is in v. 9. Therefore, P(A N B) C P(A) N P(B).

Part 1: Proof that P(A N B) S P(A) N P(B). To prove part 1, select options from the list and put them in the correct order. Statement Explanation Suppose A and B are any sets. 1. Let X be any element in P(ĀN B) by definition of power set 2. Then XC ANB by definition of subset 3. So, Hence, XC A and X c B by definition of intersection ♥ 4. Thus, Then X € P(A) and X e P(B) 5. ---Select--- ---Select--- 6. ---Select--.. ---Select--- 7. Therefore, X e ---Select-- ---Select--- 8. Since X could be any element in ---Select--- ---Select--- v it follows that every element in --Select--- is in v. 9. Therefore, P(A N B) C P(A) N P(B).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...

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