Solution Found!
(a) For A = {1, 2, 3}, give an example of three subsets A1,A2 and A3 of A such that
Chapter 2, Problem 26(choose chapter or problem)
(a) For A = {1, 2, 3}, give an example of three subsets A1,A2 and A3 of A such that |AiAj | =|i j| for every pair i, j of distinct integers with 1 i, j 3.(b) For B = {1, 2, 3, 4, 5, 6}, give an example of four subsets B1,B2, B3 and B4 of B suchthat |Bi Bj | = |i j| for every pair i, j of distinct integers with 1 i, j 4.2
Questions & Answers
QUESTION:
(a) For A = {1, 2, 3}, give an example of three subsets A1,A2 and A3 of A such that |AiAj | =|i j| for every pair i, j of distinct integers with 1 i, j 3.(b) For B = {1, 2, 3, 4, 5, 6}, give an example of four subsets B1,B2, B3 and B4 of B suchthat |Bi Bj | = |i j| for every pair i, j of distinct integers with 1 i, j 4.2
ANSWER:Problem 26
(a) For , give an example of three subsets , and of such that for every pair of distinct integers with .
(b) For , give an example of four subsets , , and of such that for every pair of distinct integers with .
Step By Step Solutions
Step 1 of 3
Here the condition is for every pair of distinct integers with . That is, is the set of all elements that belong to both the set and and means the number of elements in should be equal to for every pair of distinct integers with . .