We have a deck of cards. In this deck we have cards of the four different suits (clubs, diamonds, hearts and spades) with the numbers from 2 to 10 on them, for a total of 36 cards (face cards and aces have been excluded from the deck). Let A be the set of all cards with red suits (hearts and diamonds), and let B be the set of all the cards with a number smaller than 5. Let C be defined as A ∩ Bc. What is the complement of set C? provide sample space.

Q: A = {1, 2, 3, 4, 5} B = {2, 4, 6, 8} C= {3, 6, 9} U= {x | x is a positive integer less than 11}…

A: topic - sets

Q: Let A=\ June, Janet, JillJeffrey, Jello) and B=\ Janet, Jello, Justin). Find n(A cup B)

A: The elements of the set (A U B) are the elements which either in A or in B or in both.

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

A:

Q: Let A = {small, medium, large}, B = {yellow, magenta), and C = {triangle, round}. List the elements…

A: This question is about relation

Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: a. Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and…

A: # we are entitled to solve one question at a time. Please resubmit the other questions of you wish…

Q: A survey asked 100 students if they are taking Mathematics, English, or a foreign language in…

A: The objective is to obtain the no. of students, who takes foreign language class but no English or…

Q: 3. Consider the set of numbers S that are multiples of three and larger than 10. Write S in roster…

A: S is the set of numbers multiple of 3 and larger than 10 In roster notation S={ 12 ,15 ,18,21,24…

Q: Let S = {1, 2, 3, 4, 5, 6, 7, 8},  A = {4, 6, 7},  B = {2, 3, 4, 8},  and  C = {2, 4, 5, 6}.  List…

A: We have to solve given problem:

Q: Find the union and intersection of these sets: Set M's elements are the numbers divisible by 8 from…

A:

Q: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

Q: Consider a deck of cards that has 80 cards. Of these, 60 have a color and 20 are “wild.” The 60…

A: a) Using the definition above we can have one of following 3 events to get a match both of same…

Q: The binary operation * is defined on the set of R by a * b = (a + b) / (a – b). What is a * b if a =…

A:

Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

A:

Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: set N = {9, 43, 66}?

A: Given that  Set N = {9, 43, 66}   We know that  The subsets possible are null set , subset of size…

Q: How many people only cycled if 1978 took public transit, 1494 drove, 818 cycled, 731 took public…

A:

Q: How many distinct four-letter "words" can you form using all the letters of SETS?

A: We have to find no of distinct four letter can be formed using all letter of word SETS.

Q: If | A| = 2 and |B| = 6, what is |AU B|+|An B?

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

Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: Let A be the set of all positive integers whose last two digits form a number that is evenly…

A: We have the given condition as   Let us consider A be the set of all positive integers whose last…

Q: The elements of P({a, b, {a, b}})= 10, * .where a and b are distinct elements true False O

A:

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

A: Use combination formula

Q: Consider the following two sets:   C = {–10, –8, –6, –4, –2, 0, 2, 4, 6, 8, 10} B = {–9, –6, –3,…

A:

Q: Let A = {1, 2}. List all the subsets of A. Let B = {1, 2, 3}. List all the subse

A: 1. Let A=1,2find the subsets of A.2.Let B=1,2,3list the subsets of B which are not contained in A.

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

A:

Q: Let B = {dog, house, cheese, book, car, phone, egg, square}. How many subsets does B have? How many…

A:

Q: Let A = {a, b, c, d}, B = {a, b, c} and C= {a, d, e, f}. Choose the elements of the set A - B. Oa 0€…

A: The set A−B consists of elements that are in A but not in B.

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

A: