Given a set has m members, where m=15, how many proper subsets are there?

Q: Let S be a set with |S|=6 . In how many ways can we partition the set S into three non-empty parts?

A: Answer:   3   Here    |S| = 6 So there are total 11 possible partitions which are 6 5+1 4+2 3+3…

Q: Suppose V is a set and that n(V) = 10. How many subsets of V contain exactly 3 members?

A: Number of ways in which 3 elements of V can be clubbed to form a subset = 10C3…

Q: How many proper subsets does the set W, containing the days of the week, have? W={Monday, Tuesday,…

A:

Q: Set A contains 19 elements, set B contains 22 elements, and 6 elements are common to sets A and B.…

A: A set is a well-defined collection of objects, these objects are called the elements of the sets.…

Q: If set Z has 7 elements, how many subsets does it have?

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Q: a. How many students prefer Canvas only? b. How many students prefer at most one platform?

A: We shall find out the answer of the given questions From the table provided.

Q: Assume that the set S has 14 elements. How many subsets of S have at most 4 elements

A: At most 4 means 4 or less.  Let us denote X=number of elements

Q: find a way to partition N into not two but infinitely many subsets with each subset containing…

A: All the natural numbers can be written in prime factorization form. The natural numbers are the set…

Q: A(n) _______ is an ordered arrangement ofr objects chosen from n objects.

A: We fill the blank space as

Q: Set C is a set of states in the United States whose names start with the letter H in roster form

A: In this question we have to write a set C in roster form which contains states of United Stated…

Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: exactly how many subsets does set B={1,2,3,4} have

A: The given set is

Q: Consider a bag containing five red marbles, two green ones, one transparent one, four yellow ones,…

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Q: (b) Use set theoretic notation to describe the set of all students that were only satisfied with…

A: Given: Venn diagram of given information is given below:

Q: Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (a) How many…

A: We can find answer to both the question as below

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: Consider the set C={Ø,{Ø},{Ø,{Ø}}}. How many elements are there in the power set P(C)? *

A:

Q: c a subset of the set of letters in the alphabet?

A: In set theory a set A is called a subset of a set B if all elements of A are also elements of B. It…

Q: How many proper subsets are there of the set A = {Mallory, Janet, Kaitlynn, Akira}?

A: Given,         The set A= Mallory, Janet, Kaitlynn, Akira .

Q: How many unordered sets are there of two items chosen from four? sets

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

A:

Q: In a 5-element set, how many partitions can be formed?

A: The number of ways that a set can be partitioned is it's Bell Number  Let S(n, k) be total number of…

Q: Suppose A is a set with 6 elements. Answer the following questions:   1. How many subsets of…

A: In a set the order does not matter. So we can use the combination method. 1) We can pick 4 elements…

Q: Consider the Venn Diagram below.   How many elements are in Set A      ?  How many elements are in…

A: According to given, a). elements in set A= 8 b). elements in set B= 9 c). elements in set A and…

Q: Use the pigeonhole principle to prove the following statement. For any gathering of six people,…

A: Two possibilities=>( i )Mutual Friend                                  (ii)stranger  (let K be…

Q: Consider lists made from L, a, T, e, X, with repetitions allowed. How many 4-lists are there in…

A: Please refer to the image below.

Q: If A is set of all vowels in alphabets.Then number of subsets of A is

A: Given: A contains all vowels  So, A = a, e, i , o , u Number of elements in A = 5

Q: (a) How many three-digit phone prefixes that are used to represent a particular geographic area…

A: HERE USE COMBINATION FOR FINDING POSSIBLE NO OF PREFIX WITH GIVEN CONSTRAINTS IN EACH PARTS

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: Find the number of proper subsets for the following set: L {x | x is a letter found in the word…

A: We have to find the number of proper subsets.

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: Use the Venn diagram to determine the number of elements in the following set. A n B'

A:

Q: How many subsets are there of the set A = {Lilliana, Alyvia, Leanne, Imani, Kaleigh}?

A: Given set A = {Lilliana, Alyvia, Leanne, Imani, Kaleigh}

Q: Use the Venn diagram pictured with A representing the people in an arts class and B representing the…

A: Solve the given

Q: How many ways can a group of n people be arranged in a circle that contains k equally distributed…

A: Number of ways of selecting k people from n people = Ckn = n!k!*(n-k)!

Q: Find the number of proper subsets for the following set: L = {x | x is a letter found in the word…

A:

Q: Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: 15 Assume that set S has 11 elements. How many subsets of S have at most 2 elements?

A: Solution : A set S has 11 elements We want to find subset of S have at most 2 elements

Q: Given a set S of size n and A⊆S of size ?k, how many subsets of S contain A?

A: Given : a set S of size n. A⊆S Where the size of the set A is k. To Find : How many subsets of S…

Q: Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid…

A: Given: Each character in a password is either a digit [0-9]  There are 10 digits as…

Q: How many unordered sets are there of four items chosen from six? sets

A:

Q: If set K is such that n(K) = 3, then set K has 6 subsets

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Q: Draw a diagram out of these sets

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Q: Suppose A is a set with 7 elements. Answer the following questions: 1. How many subsets of exactly…

A: Given, A is a set with 7 elements In a set the order doesnot matter so here we use combinations.

Q: How many subsets of size 3 can one find in a set of size 5?

A: Hey, since there are multiple sub parts posted, we will answer the first question. If you want any…

Q: Is the set named empty, finite, or infinite? a) N = {counting numbers} b) V {vowels} {points in the…

A: The empty set (or null set) is a set that has no members.   Finite sets are the sets having a…

Q: Consider strings of lowercase letters. How many strings are there of lowercase letters of length…

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Q: 10. If a set has 255 proper subsets, how many elements are there? Why?

A: