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

Q: How many subsets are there of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? How many of these subsets are proper?

A: Let the given set is A, having elements as

Q: If there are 350 four-block partitions of n that contain the set {n}, how many three-block…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

A:

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 ways are there to pick the set of people who are interviewed

A: We have given that  Total number of applicants = 50 After reduced the number of candidates than the…

Q: Find the number of subsets that can be formed from a set containing 10 elements.

A:

Q: How many four​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6, 7, 8​} if…

A:

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: Suppose Set A contains 39 elements and the total number elements in either Set A or Set B is 113. If…

A:

Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any…

A: This is from combinatorial.

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

A:

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: 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: 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: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: how many subsets does {8,9,10,11,12,14,15,16} have?

A: Using

Q: How many four​-digit numbers may be formed using elements from the set ​{1, 2, 3, 4, 5, 6, 7​} if…

A:

Q: How many proper subsets does the set R, colors of the rainbow, have? R={ red, orange, yellow, green,…

A: We have to find the number of proper subsets does the set R, colors of the rainbow, have R={ red,…

Q: How many ways are there to select a set of 4 U.S. s

A: A combination is a mathematical technique that determines the number of possible arrangements in a…

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: Find a set of smallest possible size that has both {3,4,7,8} and {1,5,6,9,10} as subsets.

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Q: Suppose Set B contains 395 elements and the total number elements in either Set A or Set B is 659.…

A: Given setB=395 Total number of elements=659 Common elements=54 SetA=?

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

A: Total number of marbles = 4+2+1+3+3 = 13 Find the sets of five marbles containing 2 yellow marbles:…

Q: Suppose Set B contains 76 elements and the total number elements in either Set A or Set B is 104. If…

A: Given that: Number of elements in set B = 76 Number of elements in set A or set B = 104 Number of…

Q: If the union of two sets is countable, then each set is also countable.

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

A:

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

A:

Q: Suppose Set B contains 31 elements and the total number elements in either Set A or Set B is 126. If…

A: Given that,  nB=number of elements in set B=31nA∪B=number of elements in set A or set…

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 subsets are there of the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10} which contain at least three…

A:

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

A:

Q: Suppose Set B contains 95 elements and the total number elements in either Set A or Set B is 103. If…

A:

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

A: According to the given information in this question We need to find the value of C(8,4)

Q: Suppose Set A contains 90 elements and Set B contains 88 elements. If Sets A and B have 20 elements…

A: Given that Set A contains 90 elements and Set B contains 88 elements.  Also given that Set A and Set…

Q: Suppose Set A contains 477 elements and the total number elements in either Set A or Set B is 881.…

A: Number of elements in set A= 477  Number of elements in either set A or set B=881 Number of elements…

Q: how many committes of seven with a given chairperson can be selected from 13 persons?

A:

Q: How many four-letter "words" can be made from 6 letters "AEBWDP" if repetition of letters is…

A: 1. When repetition allowed, the number permutations of 4 letters from the set of 6 different letters…

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: the collection of the five worst U.S Presidents well defined and a set?

A:

Q: How many subsets are there of the set N = {7, 50, 69, 12, 36, 57, 29}

A: Given: N = {7, 50, 69, 12, 36, 57, 29} If a set has “n” elements, then the number of subset of the…

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

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Q: 3) Suppose Set A contains 60 elements and Set B contains 59 elements. If the total number elements…

A:

Q: How many subsets of a set with 50 elements have more than one element?

A: Introduction:  Here we need to find how number of subsets have more than 1 element. Given:…

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

A:

Q: (1point) How many elements are in the union of four sets if each of the sets has 99 elements, each…

A: To find: The number of elements are in the union of four sets if each of the sets has 99 elements,…

Q: Find the number of subsets of the set. {10,11, 12}

A: Given: To calculate the number of subsets of the set values {10, 11, 12}

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”.