Consider the set A = { 0, {0}, {}, {0}}. (a) List out the elements in P(A), that is, the power set of A, clearly separating these elements using commas e.g. a, b, c. (b) How many elements are there in the power set of A?

Q: Use the set definitions A = {a,b} and B = {b,c} to express the elements of the power set P(A ∩ B)…

A: We Know that A Power set is set of all subsets, empty set and the original set itself.It is denoted…

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

A:

Q: Let U = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

Q: Let A={3,6,9}, B={2,4,6,8}, C={ 1,2,3,4,5}and the universal set U={0,1,2,.,10}. Find each set (a)…

A:

Q: Give an example of a set that contains nine elements of which two are sets. List three Subsets of…

A: Let the set which contains 9 elements be, A=1,2,3,4,5,6,7,8,9

Q: Consider a set of elements X₁, (a) How many 8-element subsets contain x3? X12. (b) How many…

A:

Q: Let U = {4, 5, 6, 7, 8, 9, 10, 11},  A = {5, 7, 9},  B = {4, 5, 8, 11}, and C = {4, 6, 10}. Find the…

A: We first find C' (complement of C)

Q: A "word" is a sequence of 5 letters where each letter comes from the set {a,b,c}.   The ordering of…

A: In permutations order is significant. In the first subpart, we have to find how many 5 letter words…

Q: Let [n] denote the set of integers {1, 2, . , n). How many ways are there to permute the elements of…

A: Given that, The [n] denoted set of integers {1,2,..n} The numbers which are divisible by 2 are…