If a given set has 15 elements how many of its subset have at most two elements

Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels?  Condition: order is…

A: Let there are three persons A, B and C sitting beside each other. The different ways in which this…

Q: let S = { 1,2,3,4,5,6,7,8,9,10,11,12,13}  HOW MANY SUBSETS ARE THERE TOTAL how many subsets have…

A: This is a counting problem.

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: How many different passwords are there that contain only digits and lower-case letters and satisfy…

A: Given, no. of digtis = 10  (0 to 9) no. of letters = 26  (a to z) Total = 36 (iii) Password must…

Q: A multiset is a collection of objects, just like a set, but can contain an object more than once…

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Q: 5 identical copies of a movie will be stored on 20 computers such that each computer has at most 1…

A: Given: 5 identical copies of a movie will be stored on 20 computers

Q: Given nine sets {5,15,16,18}, {2,19,21},{1,9,14,16},{1,6,20}, {3,16,21},{5,14,20,21},…

A: given : {5,15,16,18}, {2,19,21},{1,9,14,16},{1,6,20}, {3,16,21},{5,14,20,21},…

Q: A set has 20 elements. How many subsets of the set can be formed such that each subset consists of…

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Q: If a set has 8 elements, how many of its subsets have the given   numbers of elements?   (1) at…

A: Given that the total number of elements= 8  So the total number of subsets= 28=256   We can select…

Q: Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor…

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

A: The different groups that can be formed by choosing r  things from a given set of n different thing…

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: 6.3.16 How many subsets with an odd number of elements does a set with 10 elements have?

A: Consider that the set has 10 elements and we need to find the subsets with an odd number of…

Q: A bag contains two red marbles, two green ones, one lavender one, four yellows, and three orange…

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

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Q: How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} to guarantee that at least one…

A: To find  How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} toguarantee that at least…

Q: How many ways are there to select three unordered elements from a set with five elements when…

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed,…

Q: the difference between sets, subsets and proper subsets.

A: Set: A set is a group of collections of numbers or objects considered as an object in its own right.…

Q: How many 3-letter passwords can be made using the letters A through Z if... a) Repetition of…

A: We have to find the number of 3-letter passwords that can be made using the letters A through Z if…

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can…

A: Let us assume that: Pi=The point assigned to the ith question.   Given that:  Each question must…

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: How many different passwords are there that contain only digits and lower-case letters and satisfy…

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Q: Let A = {1, 2, 3, 4, 5}. How many subsets of A have no more than 3 elements?

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Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given that, There are Seven members in a club who need to participate in a national meeting in…

Q: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: How many subsets does the set  L = {3, 4, 5, 6} have?

A: Given, L = {3, 4, 5, 6}  No of elements in set L (n) = 4

Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Consider that  the set S has 7 elements. The subsets can have 3 elements, 2 elements, 1 element, and…

Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

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Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

Q: How many subsets of a set with 64 elements have more than two elements

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Q: 17) How many elements are in the union of four sets if the sets have 100, 150, 250, and 400…

A: Here, n(A)= 100, n(B), 150, n(C)=250, n(D)=400 n(A∩B)=15, n(A∩C)=15, n(A∩D)=15, n(B∩C)=15,…

Q: How many ways are there to select three unordered elements from a set with five elements when…

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Q: How many subsets are there of the set N = {6, 49}?

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Q: How many numbers must be selected from the set {1, 2, 3, 4, 5, 6, 7, 8} to guarantee that at least…

A:

Q: determine the number of subsets of a set with 21 elements

A: To determine the number of subsets of a set with 21 elements

Q: For some particular website, the password must start with one of the letters W, X, Y, or Z. Then…

A: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0 through 9, total…

Q: Suppose you have a set S= {1, 2, 3, 4}. How many ways can you arrange 2 elements of the set without…

A: Given   A problem on permutations. Please find the below attachment for clear explanation.

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

A: We have to find number of unordered sets of two items chosen from four items.

Q: A club has 11 members. Five are to be chosen to go as a group to a national meeting. If the club…

A: The total members in the club is 11. Of them, 7 are men and 4 are women. The main objective is to…

Q: How many ways are there to select three unordered elements from a set with five elements when…

A:

Q: A set contains (2n + 1) elements. If the number of subsets of this set which contains at most n…

A: Number of subsets which contains atmost n elements is 2n+1C0 + 2n+1C1+....+2n+1Cn = 22n

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: A set contains fourteen elements. How many subsets can be formed from this​ set?

A: Given that A set contains fourteen elements. To find How many subsets can be formed from this​ set

Q: Show that if any 14 numbers are selected from the set S = {1,2,3,...,25}, [14] there are at least…

A: Note that the numbers in each of the first twelve sets sum to 26, and that there is no pair of…

Q: 5 can be formed if the alphabet (set of avail

A: To find: Number of strings of length 5 that can be formed with {a,b,c} with last character not as b.

Q: Suppose Set A contains 31 elements and the total number elements in either Set A or Set B is 113. If…

A: Given, Two sets, Set A and Set B which contains the no. of elements.

Q: if a given set has 24 elements how many of its subsets have at most four elements

A: There are subsets with 0 elements, 1 element, 2 elements, 3 elements, and 4 elements which are…

Q: 2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of…

A: Given that there are 5 sets and sets contains 10,000 elements, each pair of sets has 1000 elements,…

Q: Suppose we have four sets with sizes 50, 60, 70 and 80. Each pair of sets has five common elements…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.