Homework Answers
1.a)
1.b)
Yes.
f and h are in A
1.c)
No.
Every element of C must be in B to be a subset
f is not in B
1.d)
No.
f is not in B
--------------------------------------
We are allowed to answer 4 sub parts only. Please post
accordingly.
1. Let G be element. Consider the subgroups H = <a) = { a, b, c, d, e} and K = (j)-{ e, j, o, t} the group whose...
1. Let G be element. Consider the subgroups H = <a) = { a, b, c, d, e} and K = (j)-{ e, j, o, t} the group whose Cayley diagram is shown below, and suppose e is the identity rl Carry out the following steps for both of these subgroups. Let the cosets element-wise. (e) Write G as a disjoint union of the subgroup's left cosets. (b) Write G as a disjoint union of the subgroup's right cosets. (c)...
#9-11 please 9. Let A and B be disjoint sets in the universe U. Let C...
#9-11 please
9. Let A and B be disjoint sets in the universe U. Let C be a proper subset of A. (a) Draw a Venn Diagram representing this information. (b) What is BAC? 10. Let A be a set in the universe U. (a) Draw a Venn Diagram and shade in the region A. Then draw another Venn Diagram with the same set A, but shade in A'. (b) What is A'U A? 11. Give an example of three...
2. Given the set S-ta,b,c,d,e,f,g,h) a) How many subsets does S have? b) How many subsets...
2. Given the set S-ta,b,c,d,e,f,g,h) a) How many subsets does S have? b) How many subsets have exactly 5 elements? c) A subset is randomly chosen for the collection of all possible a) b) c) subsets. What is the probability that it contains exactly 3 elements? d) A subset is chosen at random from all the subsets. d) What is the probability that it contains the element a?
Part(c) and partd(d) 1.34 Let A. A.. be a countable collection of subsets of U.Prove the...
Part(c) and partd(d)
1.34 Let A. A.. be a countable collection of subsets of U.Prove the following. a) If B cU, An, then B U,(An n B). b) If Un An-U, then E U(An E) for each subset E of U c) If Ai, A2,... are pairwise disjoint, so are Ain E, A2n E,... for each subset E of U d) We say that Ai, A2,... form a partition of U if they are pairwise disjoint and their union is...
Let U ={a, b, c, d, e, f, g, h, i, j, k}. Let A={d, f,...
Let U ={a, b, c, d, e, f, g, h, i, j, k}. Let A={d, f, g, h, i, k}. Let B={a, d, f, g, h}. Let C={a, c, f. i, k} Determine (AUC) U ( AB). Choose the correct answer below and, if necessary, fill in the answer box in your choice. OA. (AUC) U(ANB)= } (Use a comma to separate answers as needed.) OB. (A'UC) U (ANB) is the empty set. LE This Question: 1 pt Let U={x|XEN...
Consider the following venn diagram with universal set, U, and sets A and B. The numbers...
Consider the following venn diagram with universal set, U, and
sets A and B. The numbers in the diagram give the COUNTS of
elements in the region. Assume we know that: n(U)=196
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U) 196 Ul 37 79 69 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A)-...
- A. B. C. D. E. F. G. H. I. J. K. ...
- A. B. C. D. E. F. G. H. I. J. K. L. M. N. O. Telecommuting - A. B. C. D. E. F. G. H. I. J. K. L. M. N. O. Change - A. B. C. D. E. F. G. H. I. J. K. L. M. N. O. Job Sharing - A. B. C. D. E. F. G. H. I. J. K. L. M. N. O. Job Redesign - A. B. C. D. E. F. G. H. I. ...
1. Let A be the set {e, f, g, h} and B be the set {e,...
1. Let A be the set {e, f, g, h} and B be the set {e, g, h}. a. Is A a subset of B? b. Is B a subset of A? c. What is A Ս B? d. What is A x B? e. What is the power set of B? 2. Determine whether these statements are true or false? a. ∅ ∈ {∅} b. {∅} ∈ {∅} c. {∅} ⊂ {∅, {∅}} d. ∅ ∈ {∅, {∅}} e....
1. Define the set S = {a, b, c, d, e, f, g}. a. Give an...
1. Define the set S = {a, b, c, d, e, f, g}. a. Give an example of a 4-permutation from the set S. b. Give an example of a 4-subset from the set S. c. How many subsets of S have two or more elements? d. How many subsets of S have 3 or 4 elements?
(a) If E1, E2, En are sets, show rI b) Show that the empty set is a subset of every set c) Show t...
need some with these. thanks
(a) If E1, E2, En are sets, show rI b) Show that the empty set is a subset of every set c) Show that EnE (d) Show that if E is any event of a sample space S, then E UE -S (e) Show that i E CF, ten F EU(En F). Also show the sets E and En F are disjoint. (1) Show for any two sets, E and F, we have F-(EnF)U(EnF). Also...
1. Let G be element. Consider the subgroups H = <a) = { a, b, c, d, e} and K = (j)-{ e, j, o, t} the group whose Cayley diagram is shown below, and suppose e is the identity rl Carry out the following steps for both of these subgroups. Let the cosets element-wise. (e) Write G as a disjoint union of the subgroup's left cosets. (b) Write G as a disjoint union of the subgroup's right cosets. (c)...
#9-11 please
9. Let A and B be disjoint sets in the universe U. Let C be a proper subset of A. (a) Draw a Venn Diagram representing this information. (b) What is BAC? 10. Let A be a set in the universe U. (a) Draw a Venn Diagram and shade in the region A. Then draw another Venn Diagram with the same set A, but shade in A'. (b) What is A'U A? 11. Give an example of three...
2. Given the set S-ta,b,c,d,e,f,g,h) a) How many subsets does S have? b) How many subsets have exactly 5 elements? c) A subset is randomly chosen for the collection of all possible a) b) c) subsets. What is the probability that it contains exactly 3 elements? d) A subset is chosen at random from all the subsets. d) What is the probability that it contains the element a?
Part(c) and partd(d)
1.34 Let A. A.. be a countable collection of subsets of U.Prove the following. a) If B cU, An, then B U,(An n B). b) If Un An-U, then E U(An E) for each subset E of U c) If Ai, A2,... are pairwise disjoint, so are Ain E, A2n E,... for each subset E of U d) We say that Ai, A2,... form a partition of U if they are pairwise disjoint and their union is...
Let U ={a, b, c, d, e, f, g, h, i, j, k}. Let A={d, f, g, h, i, k}. Let B={a, d, f, g, h}. Let C={a, c, f. i, k} Determine (AUC) U ( AB). Choose the correct answer below and, if necessary, fill in the answer box in your choice. OA. (AUC) U(ANB)= } (Use a comma to separate answers as needed.) OB. (A'UC) U (ANB) is the empty set. LE This Question: 1 pt Let U={x|XEN...
Consider the following venn diagram with universal set, U, and
sets A and B. The numbers in the diagram give the COUNTS of
elements in the region. Assume we know that: n(U)=196
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U) 196 Ul 37 79 69 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A)-...
need some with these. thanks
(a) If E1, E2, En are sets, show rI b) Show that the empty set is a subset of every set c) Show that EnE (d) Show that if E is any event of a sample space S, then E UE -S (e) Show that i E CF, ten F EU(En F). Also show the sets E and En F are disjoint. (1) Show for any two sets, E and F, we have F-(EnF)U(EnF). Also...
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