For the following exercises, find the number of subsets in each given set. {a, b, c, … , z}

For the following exercises, find the number of subsets in each given set.

{a, b, c, … , z}

Expert Solution

Consider the following set:

{a, b, c, … z}

The number of elements in the given set is equal to 26.

The formula for the number of subsets of a set is,

“A set containing n distinct objects has 2n subsets.”

Substitute n = 26 in the formula, number of subsets of a set with 26elements will be,

2n = 226

= 67,108,864

Therefore, the given set has 67,108,864 subsets.

Junaid answered 1 year ago

For the following exercises, find the number of subsets in each given set. A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

For the following exercises, find the number of subsets in each given set.A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

Discrete Math Course. On Z, let B be the set of subsets A of Z where...

Discrete Math Course. On Z, let B be the set of subsets A of Z where either A is finite or A complement is finite. Define + and * as union and interception. Show whether or not B is a boolean algebra.

Define the following order on the set Z × Z: (a, b) < (c, d) if...

Define the following order on the set Z × Z: (a, b) < (c, d) if either a < c or a = c and b < d. This is referred to as the dictionary order on Z × Z. (a) Show that there are infinitely many elements (x, y) in Z × Z satisfying the inequalities (0, 0) < (x, y) < (1, 1). (b) Show that Axioms O1–O3 ( Trichotomy, Transitivity, Addition for inequalities) are satisfied for this...

For each data set below, find the following: a) The 5 Number Summary; b) The IQR...

For each data set below, find the following: a) The 5 Number Summary; b) The IQR c) The “Outlier Fences”; d) List any outliers e) Sketch the box plot 45,70,71,73,75,80,81,85,100

Let A , B , and C be disjoint subsets of the sample space. For each...

Let A , B , and C be disjoint subsets of the sample space. For each one of the following statements, determine whether it is true or false. Note: "False" means "not guaranteed to be true." a) P(A)+P(Ac)+P(B)=P(A∪Ac∪B) b) P(A)+P(B)≤1 c) P(Ac)+P(B)≤1 d) P(A∪B∪C)≥P(A∪B) e) P((A∩B)∪(C∩Ac))≤P(A∪B∪C)P((A∩B)∪(C∩Ac))≤P(A∪B∪C) f) P(A∪B∪C)=P(A∩Cc)+P(C)+P(B∩Ac∩Cc) ) Please explain how you got the answer.

Given z = 5 - 2i. Determine the following: a) Re(z) b) Im(z) c) Arg(z) d)...

Given z = 5 - 2i. Determine the following: a) Re(z) b) Im(z) c) Arg(z) d) arg(z) e) conjugate(z) f) modulus(z) g) z in polar form h) z in exponential form i) z^2 in polar form.

Finding Surface Area In Exercises 43-46, find the area of the surface given by z =...

Finding Surface Area In Exercises 43-46, find the area of the surface given by z = f(x, y) that lies above the region R. f(x,y)=4-x^2 R: triangle with vertices (-2,2),(0,0),(2,2)

(a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25 (a)...

(a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25 (a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25<Z<0.37). (d) find z such that P[Z>z]=0.05. (e) find z such that P[-z<Z<z]=0.99. (f) find the value of k such that P[k<Z<-0.18]=0.4197

Given a natural number q ≥ 1, define a relation ∼ on the set Z by...

Given a natural number q ≥ 1, define a relation ∼ on the set Z by x ∼ y if x - y is divisible by q. (i) Show that ∼ is an equivalence relation. We will denote the set of equivalence classes defined by ∼ with Z=qZ. Also let x mod q denote the equivalence class to which an integer x belongs. (ii) Check that the operations (x (x mod q) + (y mod q) · (y mod q)...

Show if A, B, C are connected subsets of X and A∩B not equal ∅ and...

Show if A, B, C are connected subsets of X and A∩B not equal ∅ and B ∩C not equal ∅, then A∪B ∪C is connected.

Question