Sets (Part I)
1. List all the subsets of { 8, 16, 27, 31, 60}

2. Determine the number of subsets of {mom, dad, son, daughter}

3. At MegaSalad, a salad can be ordered with some, all, or none of the following set of ingredients on top of the salad greens: {ham, turkey, chicken, tomato, feta cheese, cheddar cheese, cucumbers, onions, red peppers, hot peppers }. How many different variations are there for ordering a salad?

Select appropriate set elements and distinquish between sets, subsets, and proper subsets.

Sets (Part II)
Also, for the first SLP I want you to put into practice what you have learned about sets and functions. I want you to create three sets, set A, set B, and set C by going through the items you use at work (or in your field).

Set A will be a list of all of these items.

Create Set B, from the items in Set A that you think are essential.

Create Set C, by taking the complement of Set B in Set A, i.e. all of the non-essential items.

Are sets B and C proper subsets of set A? Explain.

Submit a one to two page paper with this information along with Part I of SLP by the end of this module.

Assignment Expectations:

Identify a set and elements of the set that would make up subsets. from the original set.

Hello,
I have another discrete problem I need help on.
It says: How many subsets contain 1 or 2 or 3 in the set {1,2,...,20}?
So my teacher told me that {1} is a subset, {1,3,4,5,19} would be a subset (i just chose that randomly), {2} would be a subset, {2,5,6,7,20} would be a subset (again, i just chose that at random

The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)-subsets of {1,2...,n}. Prove that if A1,A2,A3...AM are the r subsets in lexigraphic order then complements Am

Explain and give examples for the following:
- Equivalent sets vs. Equal sets
- Cardinality of sets and how cardinality relates to the number of subsets of a set
- Subset vs. Proper Subset
- Complement of a set vs. Complement of a universal set.

1. List all the subsets of { 8, 16, 27, 31}
2. Determine the number of subsets of {mom, dad, son, daughter}
3. At MegaSalad, a salad can be ordered with some, all, or none of the following set of ingredients on top of the salad greens: {ham, turkey, chicken, tomato, feta cheese, cheddar cheese, cucumbers, onions, red pep

Note: U = union, n = intersect
1. Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
Determine A U (B n C)
2. Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}

(a) List all subsets of the set {a, b, c, d}.
(b) Determine the number of subsets of the set A = {a, b, c, d, e, f}, without writing them down.
(c) Determine the number of subsets of the set B = {a, b, c, d, e, f, g, h, i} , without writing them down.

Topology
Sets and Functions (XLIV)
Functions
Let X and Y be non-empty sets. If A_1 and A_2 are subsets of X and B_1and B_2 subsets of Y,
show that
(A_1

Create two sets, set A and set B.
Set A will be a list of five items you personally NEED to buy the most (essential items).
Set B will be a list of five items that you WANT to buy the most (fun stuff).
List the items in Set A and Set B, and also list or state the items in the union and in the intersection of Set A an