Determine the Number of Subsets
Not what you're looking for?
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 peppers, hot peppers }. How many different variations are there for ordering a salad?
4. 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 â?© (B â?ª C)
A intersect (qwyzvx)
5. Use the Venn diagram to list the set of elements in roster form. Find A â?ª B.
u h e b
a B
n j u
m
Purchase this Solution
Solution Summary
A series of problems related to sets, subsets, unions, and intersections are given. The solutions use set notation and Venn Diagrams and include explanations for determining how many subsets can be made from a set with a given number of elements.
Solution Preview
1. First remember that the empty set, {}, and the set itself, {8,16,27,31}, are subsets. Next, list all possible one element subsets: {8},{16},{27},{31}. Next, list all possible subsets with 2 elements.
{8,16}, {8,27},{8,31},{16,27},{16,31},{27,31}. (Notice that {8,16} is the same thing as {16,8}. We only want to list each subset once.)
Now, list all subsets with 3 elements: {8,16,27},{8,16,31},{8,27,31},{16,27,31}.
Notice that there are 2^4 = 16 subsets. In ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.