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

Q: How many subsets of the set {1,2,3,4,5,6,7,8} have cardinality 3 or less?

A: Here we need to find how many subsets of the set A={1, 2,3,4,5,6,7,8} have cardinality 3 or less so…

Q: 7. Rewrite the set A = {..., –27,–17, –7,3, 13, 23, 33, ...} using set builder notation. %3|

A:

Q: Define a smallest possible set of which both {1,3,5} and {0, 3,4 } are subsets.

A: The subsets given are {1, 3, 5} and {0, 3, 4}.

Q: How many distinct ten-digit passwords are possible if you must use at least one 26 lower case letter…

A: Given: you must use at least one 26 lower case letter from {a, b, . . . , z}, at least one 26 upper…

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: How many strings of length 5 can be formed if the alphabet (set of available characters)is {a,b,c}…

A: When there are nth places and m elements. With repetition, the choice of 1st place will be m, the…

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

A: Given, No of elements=15  how many of its subset have at most two elements

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: Select the collection of sets that forms a partitic

A: Introduction: A set of disjoint subsets of another set. The original set must be equal to the sum of…

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: 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

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

A:

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

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

A: Given, four red marbles,three green ones, one transparent one, three yellow ones, and three orange…

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: what are subsets?

A: Let us consider two sets A and B.A is called subset of B if and only if B set have all elements of A…

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

A:

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: 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: 5. Write the set {0, 3, 12, 27, 48, 75 ...} in set builder notation

A:

Q: Let S={1,2,3,4,5,6,7,8,9} How many subsets of cardinality 6 have {2,3,5} as a subset?

A:

Q: ct proper subsets are there of the set N = {3, 43}?

A: The number of elements in the set are 2 ( which are 3, 43)

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 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: How many subsets does the set  F = {3, 4, 5, 6, 7} have?

A: No. of subsets in a set: The number of subsets in a set containing n elements is given by 2n. No. of…

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: A set contains 7 distinct elements. How many subsets can be formed from the elements of S that…

A: Use combination formula

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

A:

Q: In a set of eleven elements, two subsets A and B shall be determined, such that A contains 6…

A: Let U denote the set of eleven elements,  A is subset of U containing 6 elements and B is the set…

Q: 20 The set [20] contains = = 15504 five-element subsets. How many of them contain more odd elements…

A: There are 15504 five element subsets. The set of 20 numbers contains 10 odd and 10 even numbers. If…

Q: How

A:

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: A set with 6 elements has —- subsets

A:

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

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: 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: A restaurant offers a special pizza with any 6 toppings. If the restaurant has 11 topping from which…

A:

Q: determine the power set of { {}, 1, {1}}

A: Power set is the collection of all the subsets of the given set. Now the subsets of given set are,

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: A set has 9 elements. How many subsets of S are there with at most 2 elements?

A: Given,            A set has 9 elements. Subsets of S are there with at most 2 elements.

Q: Find the cardinality of the set(22,44,88,176)

A: The cardinality of a set is the number of elements  in the set. The given set is 22,44,88,176

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: 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: Let A = {8, 9, 10, 11, 12, 14, 15, 16}. How many subsets does A have? How many proper subsets does…

A:

Q: Let S={1,2,3,4,5,6} How many subsets are there of cardinality 4?

A:

Q: what are infinite subsets?

A: First understand, what is an infinite set?